Well, first of all I would like to welcome you in Qatar, such a lovely country, especially at this time of the year. I believe you do have some wrong impression about somethings here. As I have been living here for sometime, I believe it is a very open country, girls really have rights and freedom.
I saw one volunteer office near my work, will check it out and get you some info.
However, can you tell about your interests, we may thing of something interesting for you.