Replying to Canadian Heatlh care

In my sociology class my teacher was talking about socialist government, and mentioned canada because of the free health care and junk. But anyways he said that if you go to the emergency room in canada whoever got there first will be treated first, so if you go and have a cold and then someone comes in right after with a gunshot wound to the face and only one doctor is available they'll treat the guy with a cold first because they want to be equal, like socialists, is this true? Could someone from Canada explain the system to me?