Don't get caught in the trap of telling them your life story! The interviewer wants to get to know you, but most interested in how it will help you be successful in acting school or in their next production.
Sharing your training, acting experience and a few hobbies is a great place to start. When talking about hobbies, think about the ones that could be relevant to the job. You'll need to focus, study and research, so talking about how you enjoy reading poetry or how you have played on a successful sports team is valuable information.
You'll be working with a lot of different personalities, so talking about how much you love people and enjoy going out to concerts or other public places where you get to meet new people shows that you are outgoing and friendly.
Try to keep this answer brief, but give the interviewer reason to want to know more about you. The way you talk about yourself is also important. Be enthusiastic and composed. Show that you are prepared.