You brought home a nice 66 with red-eye or Redhead decals. It looks like it takes back clamp feet. Is the needle bar and clamp there in front of the foot bar?
Vacuum it out, clean the lint from behind or under the face plate, rear inspection plate, and under the needle bar plate. Clean off the feed dogs (don't remove them).
You can download a manual from ismacs, it will have a diagram for oiling. Use good sewing machine oil, not 3 in 1 oil.
The head looks in pretty fine shape, the wear on the bed indicates it was sewn with and should be well broken in (smooth). Sewing machine oil does a great job cleaning the head, too.