I'm on the board for a private school and we recently recruited a new head.
Have you been asked to do a presentation?
If yes make sure it's interesting and not waffle but don't talk down to the govs ( one candidate was illustrating his point with his collection of Lego figures - we are not in Y3)
Assuming you'll be taken to meet the staff and students at some point, this was very important not just a time filler. The feedback from staff and some of our senior students was not great on one of our candidates ( she was easily the strongest on paper, but was cold and uninterested in the students, huge red flag for us)
HTH