You probably won't miss much that way. Actually, you might get more out of it. I strongly encourage you to check out a few classes that interest you (you can go to pretty much any lecture class, probably no one will notice with large lecture classes).
Go to https://axess.stanford.edu/
and click on search for academic classes under the guest menu to find classes that interest you.
Talk to students. Lots of students. Tell people that you are a profro and ask if they have time to answer 1-2 questions about Stanford. Unless they are really in a hurry, pretty much everyone will be happy to answer your questions.