Hellobee Boards

Make sure to eat poutine! La Banquise has lots of yummy options but if you just google "best poutine Montreal" I'm sure you'll find lots of debate on that.

I know you said you're not so into big plates of meat, but a smoked meat sandwich from Schwartz's is a must if you've never been. Get it with fries, a pickle, and a cherry coke

Not sure if you'll be there on a Sunday, but if you are, Tam-tams in mount royal park is a lot of fun and a unique Montreal experience. Mount Royal itself is worth seeing and you can get a great view of the city if you go up at night. Google "Parc du Mont-Royal" and you'll see lots of tips on Yelp.

Lots of great shopping on St Laurent, and St. Denis streets.

Old Montreal is beautiful also for walking around/sightseeing/feeling like you're in Europe.

Get a Montreal bagel! Depending where you're staying, drive or take a cab or walk to Fairmount Bagel or St-Viateur Bagel in Mile End and eat one hot out of the oven. Sesame is the way to go!

Lots of good restaurants listed here
http://montreal.eater.com/maps/best-montreal-restaurants-38

2 days is too short, stay longer! Also you may have just convinced me to take our babymoon trip to Montreal...