historically, no the fuck they don't. over the last decade or two, yes, they've increased their imports by a shitload and to no one's surprise, gun crime has risen like 900%.
i'm not gonna sit here and say zero guns get into canada across the border, full stop, but the numbers aren't even comparable on smuggled weapons. hundreds of thousands get smuggled into mexico each year. if hundreds of thousands were getting smuggled into canada each year, they wouldn't be seizing like 2,000 annually.
sure, a large portion of nearly-nonexistent gun crime (historically) that, of course, has begun to skyrocket in response to those imports you mentioned.
keep in mind, even now, our gun crime rate is 600-700% higher than theirs,
per capita.