What happened to my snake's eyes?

You really don't need to do anything, unless he is really dry and has flakes of skin still left on him in a couple of days, you just leave him. If he does still have stuff stuck to him, mist him with water from a spray bottle. You'll just stress him out if you bathe him. Also make sure you have climbing branches for him, as well as being interesting for him it will help him shed his skin.