Im considering purchasing a used Gibson LP Studio. What should I be looking for when I examine and evaluate it (besides how it feels and sounds)?

if i was buying used i would look for

broken/breaking parts
worn frets/warped neck
cracks/paint chips etc etc etc

stuff like that.
Caparison Angelus HGS, EMG 85/85 18V | Krank Rev1, JJ's | Mesa Recto Cab | Maxon OD808
Go HERE Read this it's going to be a lot of help.
If you start a reply with: I have never played one but I have heard good things about it! Your opinion is invalid.
Yeh that's all fair game. Also i generally always ask the history of the guitar, why they're selling etc. Good to have a little context. It may also guide what you're looking for in terms of the stuff on that site.

Obviously the tick list has to include neck (and related matters), electronics, pickups, nut, finish.