There have been a few threads recently about the GMT800 trucks.. There are few on here with them.
I have brought 2 00-06's up to over 200k, still owning one at 224k of which has been abused and used and will be for the foreseeable far future (lifted, offroading and towing 6k).
These, have by far, been the most reliable vehicles I have ever owned. By far.
The only weak points un-modified from a maintenance perspective are the fuel pump and transmissions. I treat the fuel pump as a 100k consumable.
The water pumps, power steering pumps, bearings, etc. have all lasted over 200k miles for me on both and are not known weak points. I just had a wheel bearing fail after 210k miles and much of those miles were abusive towing and off road (didn't even strand me), I believe it only failed because I took it out while installing a lift kit and didn't replace it because it looked fine and I didn't want to go to the store. I just now at 224k ,replaced the original waterpump, powersteering pump, idler arm, pitman arm, and Knock sensors)
If you are a DIY for most things, I would look at three things: Overall condition of the body, Undercarriage Rust, and the #1 transmission.
If the transmission has been replaced ask for the builder and look up their reputation. If it never has been replaced and is over 150k miles, it will go out sooner than later. If the transmission is starting to slip, budget 1-1.5k into your price or try and talking them down. These things are so common wait for the right one ,or make it worth your $ money if going to replace the transmission because it's the only big ticket item that can go bad. Also see if it has an aftermarket or factory aux transmission cooler (Easily seen through the front grill- smaller radiator in front of the AC/water radiator) This can also increase the life of the transmission. If it doesn't I would plan on the $200 to add one upon purchase. Don't rely on the cooler being there if it has the factory tow package .I have seen them without them (sometimes removed at somepoint in their life because leaking etc. and the owner wanted to save a buck)
The rest of the items, I wouldn't even worry about if you are handy. Everything else on these trucks are cheap, and easy to replace. Things like the G80 and CV's off road are weak points, but not so much from a maintenance stand point or if going to be used in stock form. Also watch the cranking of the front torsion bars as that can increase front suspension wear and CV axle breakage, but again, we are talking $300 for a weekend DIY front suspension complete rebuild of all parts, and those CV's are only a liability off road.
If you are not DIY, well, I would start looking at the maintenance schedules and see what has been replaced and what will be up and compare that to the purchase price. Again, parts are cheap, labor depending on where you are, and again the transmission would be what I would focus on. The rest is like any highly reliable high mileage car, it's a crap shoot trying to pinpoint what would go wrong, until it actually does.
Edit:
And +1 to what martin said, he beat me to posting while I must have been typing. I have had a few small little things go wrong (bulbs going out in the instrument panel, stepper motor in the instrument panel, but again it's a 200k car, so as to be expected. if you are handy these are small 30 minute project that cost less than $15 or less than 50-100 locally to get fixed. For me it was an incentive to upgrade everything to red LED's or change/upgrade the part, such as the dash to include a transmission temperature gauge etc. As he mentioned, I have read the heater actuator breaking is a common problem, hasn't happened to me, but I've read it. Apparently it's a really easy fix.