Pierre-Elliot Trudeau airport is a great way to get in the city. Montréal Trudeau is the international airport and is the location for almost all the major domestic and international airlines. It's about a 25 minutes drive from Montréal Trudeau to the Université du Québec à Montréal. The bus shuttle number 747 can get you from the airport to a few blocks from the venue for $10.
The venue is located right above the largest subway hub of Montréal's public transportation system, Berri-UQAM station. Cash fare is $3.25, or multiple tickets can be purchased at discounted rates. Check with the STM for more details.
Tourism Montréal's website has information on things to see and do in Montréal, as well as a "Deals" section including coupons.