Its almost impossible you`d be allowed to have your dog when you stay in a dorm. Most school dorms do not welcome pets, even if they do, they are usually limited to fish in an aquarium or small caged animals, like birds or gerbils.
It also depends on how long are you here for!?
If you`re going to be in Canada for more than 2 years and you don`t mind the hassle that comes with the dog ( finding pet allowed apt, register your dog with the city and pay annual dog license fee,etc.) There are very small percentage of apartments that allowed 4-legs pets, however this type of rental places usually have waiting lists, especially if they are in good locations.
Have you consider getting a webcan? You can still "see" you dog while you`re abroad studying.