Check for play in the spindle (a dial indicator will be helpful here). Spindle bearings can get expensive fast.
Lift the table and check the ways. If the grinder has been used in the last year or so, there should be a coat of oil on them and relatively little wear.
If you can turn it on, feel the spindle motor for any vibration. There should be almost none. Listen for any squeaks, vibrations, grinding, etc...
Turn the wheels. Everything should run relatively smoothing back and forth, up and down, etc... If it's an auto table, check that it functions.
If you can surface a piece of steel, this will probably tell you the most.