I was looking at this 1996 Pontiac Bonneville and it has 195,000 miles on it. What problems could it have? What problems if bought should I expect?

With that many miles you could be looking at a lot of issues. The engine, transmission, brakes, radiator, wiring and etc. Even if well maintained a car that has that many miles could develop a lot of issues that can cost a lot of money. You could also get lucky and not have any problems for another 100K miles. Good Luck!

what is the most you would buy it for?

You should be able to find one for around $700. Which is a reasonable price.

well there is one but they have it priced at $2333, It's a Dealer. Is that a good price or would you try and go lower?

Sorry about my last post I had a brain f_rt. $2000 seems reasonable for a car with that many miles. Make sure he gives you some type of guarantee at least 30 days on the engine and drive train. If it was well maintained then it should give you good service. I had a V6 Cadillac with 209000 that still ran when I gave it to a guy.