Once the oil is completely dry (3 days to a week) you can re-coat wth lacquer, shellac, polyurethane or any other clear finish for more gloss if that is what your are looking for.
For a really smooth, soft looking finish, I usually sand the face with a piece of brown paper bag (4000 grit sand paper) and a coat or two of paste wax and polish it with a cotton rag (old T-shirt).
You just need to experiment with various things on scrap wood. Have you ever seen a wood project with a finish that just MADE you want to touch and feel it? That is what I strive for.
Rog