Is it normal for girls to masturbate?

Yes, it's normal and don't be ashamed. Most Girls do masturbate, They start between 10 and 20 but are embarassed to admit to it since it's accepted to be a teenage GUY thing. Lots of girls do it. dont feel weird about it. it's your body, you should be able to do what you want with it. and orgasms are normal assuming your hitting the right spot. I recommend you check out this Yahoo Answers Qustion.

Is it more acceptable for boys to masturbate than girls?

No. Its "Normal" for both boys and girls to masturbate.

It's natural for boys and girls to masturbate - both do it. Girls don't discuss it as much as guys and are quieter about their sexual activities in general but according to studies both boys and girls masturbate about the same amount. Boys just talk about it a bit more i guess...