All three English Québec universities go by their proper names when being referred to: McGill, Concordia, Bishops.

We will generally say, "I go to McGill," and rarely add the word university afterwords.

All the French university names are preceded by "the university of..."

Hospital names start with the...the Royal Vic., the Mtl General, the Jewish General EXCEPT those hospitals that are named after saints (eg. Sainte Justine)