It is significantly more than that. One major example: quebec has a separate legal system for civil matters, based on french civil law. (https://en.wikipedia.org/wiki/Quebec_law)

The short answer is no, it is much more than that!

The long answer involves several hundreds of years of history…

(Brit here) While working on a contract in Ottowa, I asked about Quebec which was just next door. My hosts explained that Canada and Quebec is like Britain would be if you put Scotland in the middle between Southern and Northern England.

Their traffic lights are sideways and have different shapes as well as colours too.