Not sure about wood type. Its a Epiphone Firebird.What type of wood?
If I were me I'd wipe on a couple of coats of very thin shelac. It seals the wood and down the road you can always give it a light scuff sanding and another coat or two to freshen it up. Clear shelac will very slightly darken the wood.
You can do similar things with lacquer, thinned wipe-on polyurethane, a penetrating finishing oil, etc.