Frasers is an excellent store, situated on Buchanan Street

There is in fact loads to see in Glasgow, just not as openly present as in Edinburgh maybe, but there are musem's galore, beautiful art galleries just outside the city, loads of shopping, obviously :P, and many many differnt theatres and musical productions, along with the amazing concerts in the concert hall.
If you're there in spring, march-may to be exact, try to get to see "a play, a pie and a pint" at the Oran Mor. It's a new play every week written just for that by one of many good authors in glasgow and you basically eat lunch whilst watching the play.

Good for shopping, bring some money along!

You could spend days browsing in the fantastic second hand record shops: Lost Chord - 11 Park Road; Lost in Music - De Courcy's Arcade; Oxfam Music - 171 Byres Road are all in the West End. In the city centre you'll find Monorail - 12 Kings Court; Avalanche -34 Dundas Street.