IME, “college” and “university” are used differently in Canada than in the US. I live in Alberta, but I’m pretty sure that usage is the same across Canada.
Here, a “college” is higher education after high school, usually consisting of one-year and two-year certificate and diploma programs. Sometimes a college will offer classes covering the first year or two of a four-year undergraduate degree, but a student would have to transfer to a university to finish their degree. Similarly, there are various technical schools that also offer one- and two-year programs of a more technical-skill-oriented nature.
A “university” is also higher education after high school, but it’s an institution that offers four-year undergraduate bachelor degrees (Bachelor of Science, Bachelor of Arts, etc…). The university I attended (the University of Alberta), didn’t really have “sub-colleges” within it - instead, each group of studies was a “faculty” (faculty of engineering, faculty of science, faculty of nursing, etc…). A university may or may not have an associated medical school or law school, and a university may or may not offer graduate degrees (Masters or PhD) or post-graduate studies.
The Canadian magazine Macleans publishes an issue each year with rankings of Canadian universities. For ease of comparison, they break the universities down into different categories, but they’re still all universities. The categories they use are “Primarily Undergraduate” (has relatively few graduate programs), “Comprehensive” (has a range of undergraduate, graduate, and professional programs), and “Medical Doctoral” (has a broad range of PhD programs and research, and medical schools).
I’m pretty sure that in Canada calling your institute of learning a “college” or “university” is a legal thing, and they can’t just decide to use “university” if they don’t offer accredited four-year undergraduate degrees.
For example, in Edmonton there is Concordia University College. It used to be called Concordia College, and it only offered one- and two-year programs. In the mid-90s, they changed their name to Concordia University College, because by that point they were allowed by the province to begin granting four-year degrees.
Similarly, Grant MacEwan College is also in Edmonton, but they changed their name in 2006 to just “MacEwan” (omitting the word “college”), because at that time they became an accredited degree-granting institution.