In interviews, regardless of what they are for, I like to follow-up with questions you can't read about on the website. Some examples could be:
What do you feel makes your institution unique?
Why did you choose to work at this institution?
If you were allowed to make any changes you wanted to your institution, what are some things you would like to change or improve? (probably one of my favorites, because it gives you the negatives and makes the interviewer feel more comfortable about divulging weaknesses about the school without recognizing exactly what s/he is doing.)
Whatever you say, just be sure you're going to get an answer you think would be beneficial to you. Asking a question for a questions sake is someone ridiculous and often times transparent.