Before becoming an engineer, graduates in the United States are required to take the FE test. Students who attend an approved university (accredited by the Canadian Engineering Accreditation Board (CEAB)) in Canada do not have to take the FE test. This is a result of Canada's far stricter regulation of education than the United States.
A graduate of a Canadian university is regarded as an engineer in training for four years after graduation. After that, they can register as a Professional Engineer (ability to stamp drawings, etc). You must be supervised by a licenced engineer while you are a student engineer.
It is significant to highlight that provincial, rather not federal, organisations regulate who can become a professional engineer. To operate legally in any province where you work. You must get in touch with the relevant provincial board to find out if you may apply immediately to become an engineer in training. To determine your eligibility, they will look at the college you attended and the courses listed on your transcript.
Depending on where you attended school, there could be an entry exam; however, I am speculating on this point because I am unsure. But maybe the definitions of the terminology above will make the application process easier. You can be sure to learn more from the regional engineering associations.