Definitely a tranny problem. Is it A/T or M/T?
It could be a shift solenoid thats gone bad or a heavily contaminated valve body if its A/T. I am sure you will see the car in person so just make sure the engine is really "healthy" as they say. The statement that her and her b/f don't know much about cars is a bit concerning.
I would even try to borrow a compression tester and do a compression test. Looks for oil leaks, inspect the drive belts, T belt, listen for odd engine noise, check all the fluids. Try to inspect as much as you can and depending what you observe, decide if its really a good deal or more work ahead of you type of deal.
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