My impression is that in Canada, your place of undergrad matters less, although high grades are a minimum threshold and volunteer/community environment helps filter the kids who meet that threshold... Maybe because there just isn't a divide in between "state schools" and "private/Ivy League" schools in the same way. There are some schools that are more competitive to get into, and I wouldn't be surprised if med schools judge somewhat based on that as well as just on university GPA, but it's not something that I've ever heard brought up. I'm about 70% sure that I could get into a Canadian med school if I applied now, and 90% sure that I could if I applied in 5 years with some more "life experience" under my belt.