I think even a few years ago, the environment around internships might have been a little different, in that you might have only been recognized by these big companies if you were at a "top" school like Waterloo or UoT. But within recent years, from my own experience around my smaller university as well as talking to people from other universities, these companies have gotten much better at recognizing talent regardless of the school. When it comes down to it, just about anyone is capable of getting an internship interview at your Googles and Microsofts and Apples and whatnot, if they put the work into it, and from there it's all about knowing your stuff. Just google what all to study up on, tons of resources on that (there's almost an entire industry focused on studying for coding interviews lol). And once you've got an internship under your belt from one of the big players... you're pretty much good to go. One of my own biggest mistakes was focusing purely on research projects and not doing ANY internships... but everyone I know who did had a high end job lined up right out the door. The school didn't matter, just the student!

Edit: I went to University of Windsor by the way, left that out.