I am with work permit and am working in Univ of Toronto. I am also starting tutoring for a tutoring academy. They have taken my social insurance number also. Do I need to have a work permit for this job ? If yes, and if I continue working without the pemit, what may happen ?

A new or additional work permit is required for any position not described on your present permit. The only exception may be if you have an open work permit at present (subject to medical examination limitations).