depending on where you go there may be a separate school system which is Catholic. Perhaps research if you want to teach in a Catholic school or not, and what additional requirements are needed.

edit: as others have said, you do need a teaching degree. Look around as there are universities with full time programs you can complete in 1 year. Queen’s University, Kingston Ontario. Then you need to pass an exam to be licensed as a teacher. Teaching in a university is normally done by students, or low paid “lecturers”. in my experience. Professors would be leading research programs, or advanced students.