Favorite thing: The tourist information office is located at the George Square, jsut behind where the tour buses stop. I'd really recommend you going there. They've got lots of brochures, maps and ideas about what to do and see. (even though the chick I was talking to pointed me in the direction of the Rangers home ground when I wanted to go to Celtic's dito :P )
There is so much more to Glasgow than I ever gave it credit for. There are a heap of museums and attractions - such as those mentioned below - and amazingly most of them are free (although of course donations are welcomed). So there is a lot more to the city than shops and commercial buildings. Of course the shopping IS great!
Photo: George Square in the heart of the city centre.
Fondest memory: Probably seeing the Coca Cola Christmas parade and carol singing in George Square! It was a LOT busier than the day I took this photo and everyone was wearing Santa hats :)
Favorite thing: If you get yourself to George Square, then you are right in the centre of Glasgow and can get almost anywhere from there. The tourist information centre is located here. The big red open top tour bus leaves from here (about gbp6) and Queen Street train station is here. All the local buses are within walking distance too.
Its red floor is a strange character of this square.
The Tomb of Unknown Soldier and the Nelson Monument are the leading actor of this square.
Photo Below: The City Chambers.... located on George Square.