First, welcome to FRF!
Second, I assume the trailer is a 2001? Which means it should have all the bugs worked out. Are you buying from a private party or are you buying from a dealer? Either one should give you a thorough walk through:
1) Demonstrate the fact that all the systems work and how to use them.
2) Look for leaks in the skin of the trailer
3) Look for leaks in the plumbing systems.
If at a dealer I would ask that the LP gas tanks be full, the battery be tested and replaced if needed, tires inspected and pressure checked, and the Water Heater Anode be replaced. Check to make sure all the lights work.
Also ask the dealer for a 30 day warrenty on leaks and major things like the fridge, heater, water heater, AC, water pump and stove. Ask a private party to include what ever WD hitch they may have used with the trailer.
And then go camping!
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2008 (or is it 2009?) Rockwood 8280SS - 2007 F-150
Lot's of mostly Kenwood radios