Here is What I found , you did not specify where you would be staying in Montreal and it's a big city .
I based my search on the thought you would be staying downtown. Hopefully this is correct , if not you can always use the Tourist Montreal Site which is the first link provided.
If Mount Royal is close to you (use mapquest to see) Then I would strongly suggest taking a walk up Mont Royal , and it's FREE . I have Included some other interesting things and have also provided the link .
Good Luck , Enjoy , Montreal Is A City Like NO other !
Tourism Montreal
http://www.tourisme-montreal.org/B2C/00/default.asp
Double-Decker City
http://www.tourisme-montreal.org/B2C_Target/ExperienceMontreal/EN/HTML/1170_EN.asp
Nestled between mountain and river, Montréal's compact downtown core vibrates to a world beat. This is where Montrealers live, work and play—there's no 6 p.m. exodus to suburbs unknown.
Along Sainte-Catherine Street—which traverses almost the entire city from east to west—and up and down the cross streets, restaurants of every nationality share sidewalk space with international name-brand boutiques, great department stores, intimate café-terrasses and very happening nightclubs and bars. A spectacular view of McGill College Avenue and Mount Royal comes into view from the Place Ville Marie esplanade, the birthplace of the underground network.
Wander up to Sherbrooke Street and browse (or splurge) in the designer boutiques, trend-setting art galleries and museums—including the prestigious Museum of Fine Arts—of the Museum Quarter. Stroll east and enter Chinatown, where a thriving Chinese community continues to celebrate traditional festivals and holidays, and where you'll find all kinds of neat things, like medicinal roots, exotic foodstuffs and hand-painted porcelain.
With centuries-old buildings and modern skyscrapers, a medley of architectural styles stands side by side for all to behold. The Quartier international, an exceptional new urban space, is one such site. In addition to the Palais des congrès (Convention Centre) and its colourful glass façade, Place Jean-Paul-Riopelle is well worth a visit for its remarkable fountain-sculpture that features a ring of fire.
Then there's downtown's famous alter ego: the underground pedestrian network. Directly under the heart of the city lie 33 kilometres (20 miles) of brightly lit, scrupulously clean passageways, linking thousands of boutiques, major hotels, restaurants, universities, dozens of office buildings and attractions. This is definitely the Montréal of Montrealers. Every day more than 500,000 people connect through here on their way to work, shop
Mont Royal
http://www.lemontroyal.qc.ca/en_index2.html
This is a Link To The Views You Can see From Mont Royal!
http://travel.yahoo.com/p-travelguide-2803734-action-imgsearch-mount_royal_park_montreal-i
Mount Royal (French: Mont Royal) (45°30′23″N, 73°35′20″W) is a mountain on the Island of Montreal, immediately north of downtown Montreal, Quebec, Canada, the city to which it gave its name.
The mountain is part of the Monteregian mountain chain situated between the Laurentians and the Appalachians. It gave its Latin name, Mons Regius, to the Monteregian chain.
The mountain consists of three peaks: Colline de la Croix (or Mont Royal proper) at 233 metres (764 feet), Colline d'Outremont (or Mont Murray, in the borough of Outremont ) at 211 metres (692 feet), and Colline de Westmount at 201 metres (659 feet) elevation above mean sea level. At this height, it might be otherwise considered a very tall hill, but it has always been called a mountain.
Geology
Some tourist guidebooks, such as the famous Michelin Guide to Montreal, state that Mount Royal is an extinct volcano. The mountain is not a volcano per se, although it is the deep extension of a vastly eroded ancient volcanic complex, which was probably active about 125 million years ago.[1] The mountain was created when the North American Plate moved westward over the New England hotspot,[1] along with the other mountains of the Monteregian mountain chain. The magma intruded into the sedimentary rocks underneath the area, producing at least eight igneous stocks. The main rock type is a gabbro composed of pyroxene, olivine and variable amounts of plagioclase. During and after the main stage of intrusion, the gabbros and surrounding rocks were intruded by a series of volcanic dikes and sills. Subsequently, the surrounding softer sedimentary rock was eroded, leaving behind the resistant igneous rock that forms the mountain.
History
Cross on top of Mount Royal, at night
Cross illuminated in purple to mark the death of Pope John Paul II, April 2005
The first European to scale the mountain was Jacques Cartier, guided there in 1535 by the people of the village of Hochelega. He named it in honour his patron, King François I of France. He wrote in his journal:
Et au parmy d'icelles champaignes, est scituée et assise ladicte ville de Hochelaga, près et joignant une montaigne... Nous nommasmes icelle montaigne le mont Royal.
("And among these fields is situated the said town of Hochelaga, near to and adjoining a mountain... We named this mountain, Mount Royal.")
The name of the city of Montreal derives from mont Réal, an orthographic variant introduced either in French, or by an Italian map maker ("Mount Royal" is monte Reale in Italian). The name had been unofficially applied to the city, formerly Ville-Marie, by the 18th century.
The first cross on the mountain was placed there in 1643 by Paul Chomedey de Maisonneuve, the founder of the city, in fulfillment of a vow he made to the Virgin Mary when praying to her to stop a disastrous flood. Today, the mountain is crowned by a 31.4-metre-high illuminated cross, installed in 1924 by the Société Saint-Jean-Baptiste and now owned by the city. It was converted to fibre-optic light in 1992. The new system can turn the lights red, blue, or purple, the last of which is used as a sign of mourning between the death of the Pope and the election of the next. (This operation was previously accomplished by changing all the light bulbs.)
In 1918, a railway tunnel was built under the mountain. It is currently used by the AMT's Montreal/Deux-Montagnes.
The area was originally considered as the site for Expo 67.[2]
Mount Royal Park
The mountain is the site of Mount Royal Park (officially Parc du Mont-Royal), one of Montreal's largest greenspaces. The park, most of which is wooded, was designed by Frederick Law Olmsted, who also designed New York's Central Park, and inaugurated in 1876.
The park contains two belvederes, the more prominent of which is the Kondiaronk Belvedere, a semicircular plaza with a chalet, overlooking downtown Montreal. Other features of the park are Beaver Lake, a small man-made lake; a short ski slope; a sculpture garden; Smith House, an interpretive centre; and a well-known monument to Sir George-Étienne Cartier. The park hosts athletic, tourist, and cultural activities.
The lush forest was badly damaged by the Ice Storm of 1998, but has since largely recovered. The forest is a green jewel rising above downtown Montreal, and is known for its beautiful autumn foliage as well as extensive hiking and cross-country ski trails. Biking is restricted to the main gravel roads.
Once, the Mount Royal Railway, a funicular railroad, brought sightseers to its peak. [1] That attraction has long since vanished and a roadway named for longtime but controversial former mayor Camillien Houde -- jailed during the Second World War for his opposition to Canada's war effort -- now bisects the mountain.
The park, cemeteries, and several adjacent parks and institutions have been combined in the Arrondissement historique et naturel du Mont-Royal (Mount Royal Natural and Historical District) by the government of Quebec, in order to legally protect the rich cultural and natural heritage of this region. It is the only place in Quebec to have the combined status of an arrondissement naturel and arrondissement historique.
[edit] Jeanne Mance Park
Facing the mountain across Parc Avenue is Jeanne Mance Park (Parc Jeanne-Mance), formerly known as Fletcher's Field. [2] A popular recreational area, Jeanne Mance Park features an artificially surfaced field for soccer and football, tennis courts, two baseball diamonds, a kiddie pool, playground, beach volleyball courts and a community composting facility.
[edit] Transmission towers
The park is also home to the CBC's Mount Royal transmitter facility, which comprises two large buildings (one used primarily by the CBC and one used by the private television stations) and a very short (about 100 m) candelabra tower, from which nearly all of Montreal's television and FM radio stations broadcast. Because of the close proximity of this tower to public areas of the park, in recent years significant concerns have been raised about radio-frequency radiation exposure; at several points formerly accessible to park users near the tower, radiation was found to be significantly higher than that permitted for the general public.[citation needed]
[edit] Adjacent landmarks
Outside the park, Mount Royal's slopes are also home to such Montreal landmarks as St. Joseph's Oratory, Canada's largest church; McGill University and its teaching hospitals, including the Royal Victoria Hospital and Montreal General Hospital; McGill's Molson Stadium, home to the CFL's Montreal Alouettes; the Université de Montréal; the Ecole Polytechnique de Montreal; and some well-off residential neighbourhoods such as Upper Westmount and Upper Outremont.