[dmbche]

No, both are separate universities, although some universities also have satelite campuses (UDeM (montreal) has multiple).

Edit0: Although UQ is a group of 10 universities that are public, they are not a single entity.

[dcrazy]

That sounds like the UC or SUNY systems. UCSB, UCLA, etc are all separate institutions with separate missions, but it’s totally normal to say “UC Berkeley” or “UC Santa Cruz.”