It shouldn't hurt to oil it. If it soaks in, then it is unfinished. If it sits there, or beads up and runs off, then it probably is finished. Any non-finished wood will benefit from the oil. Only a little is necessary. My luthier says twice a year is fine, and not to get carried away. Lemon oil (preferred) is really a light oil and should not damage the finish for the few minutes that it sits there.
To tell for sure if it really is finished, ask the pros with model and serial number. They will know how they made your baby.
Kris