First, my own question that I think is imperative to ask: What is the management style of the supervisor of this position? Because fuck, I have worked under some bad bosses and a lot of the tension in the workplace came down to their management style not working period or not working for me.
And another: Do you have any concerns about my qualifications? If you don’t ask, you will never be able to defend yourself. If they answer this question, you can address any issues, but you can also get a better idea of what they’re looking for in this position.
The Sudden Adult long, long ago claimed writing the Interview guide and I’m sure she’ll get to it eventually, but until then, here are a few handy links for asking questions.