The perspective, or relationship between near and far things, won't be 2x, but the angle of view will be exactly the same as if you cropped the middle 50% out of the original 24mm x 36mm frame.
Bottom line: focal length is still focal length. The lens does not get "longer" when you put it on a smaller sensor. It is best to try to re-calibrate your head for the actual millimetres, rather than to always multiply things by two. For example, a 25mm lens has a "normal" angle-of-view on either 4/3rds or µ4/3rds, like a 50mm lens has on 24x36.