No, it's the royal scottish academy of music and drama...I'm going over to study theater
Oh right, cool! I know just where that is, I've driven past it many times. I think you're going to find that a lot of apartments in the city centre will be quite expensive rent-wise. When I lived in Glasgow, I lived in Pollokshields, which is a fairly nice area. This area, as well as Shawlands, are quite popular for students as the rent is a bit more reasonable. So, if your college does not have student housing available, this is probably your best bet. Public transportation is very reliable, and only takes about 10 minutes by bus or underground from the areas I described.
There may be an area at the college where students post if they need a flatmate, like bulletin boards. Also, you might want to try something like Craig's List's Glasgow site. I don't know if CL has caught on in the UK as much as it has in the US, but it might be worth a gander closer to the time.