It will be very good if you plan to open an account first thing you come. It useful to open 2 accounts one with US and one with CA. Even if u don’t put money.
RBC bank http://www.rbc.com is very famous and has many branches in Montreal.
Why?
The point is that this will be very useful to make the step of opening a credit card later easy on you because they will check and find that u have an account while ago so they will have more chance to be accepted and get a credit card.
Also you get more benefits when you have more services in the bank.