This is a working high school! It was built as a luxury hotel and then converted to a high school when the hotel went bust, and it remains a high school today. You can see why it stood in for the fictional Padua High School. It looks so fancy.
Here we are with a timer photo.
Look at the view!
Look at the stadium! The field is also featured prominently in the film.
This was not far from the Elks Temple, and I recommend taking the walk if you have the time.