Hi guys, not a medical student but I'm sure I can help. The medical school is in the main campus, so you'd be looking for halls in the West End. The closest one would thus be the Student Apartments. Murano Streets stands out because it is the party halls. Other than that all other halls are the same, excepting of course the living conditions (the more expensive, the better though not always)
Uni halls tend to be cheaper than private, with the exception of Firhill court which is dirt cheap for some reason. I don't think there's more I could tell you about them that you can't find out yourself. As for private halls, you'll most likely get an en suite bathroom (QMR offers that too). I could recommend Unite Students and Home for Students, I had friends who lived there and they were pretty good
I'm not sure if the accommodation is first come first serve, but I know they guarantee you a place if you come from abroad (and I think from outside Glasgow too, has to be)