Your bio is an opportunity to mention people and activities that have been meaningful to you -- particularly in relation to the current production but generally in your theater career.
Questions to consider:
Are there specific people who have been instrumental in your theater career (family, friends, specific production members, specific castmates or specific production-mates)? This is a great opportunity to thank these special people in your life.
What motivates you to participate in theater (i.e. experiencing live theater, acting in an early performance, specific actors or actresses)?
What is your history in theater (previous productions/specific roles)?
Why did you audition for this particular role?
Why did you want to be in this production?
What are your personal hobbies (let us get to know you a bit more)?