Some questions you could ask:

- What's his/her name?                                 - What is he/she doing?                                                         - Where does he/she live?

- Where did he/she study?                           - When was he/she born?                    - When did he/she get married for first time?

- Who is his/her partner?                             - Why is he/she well known/famous?              - How many children has he/she got?