The oil filter on a 1988 Chevy Celebrity is located on the
passenger side (right side) of the engine, near the front. It's typically fairly accessible, though you might need to maneuver around some other components. You'll likely need a wrench or oil filter wrench to remove it.
A quick visual check with the hood open is the best way to pinpoint it exactly on your specific vehicle. Remember to consult your owner's manual for diagrams and further details as well.