A gift card for her local movie theater, enough for her and a friend. Jewelry, perhaps a necklace or earrings with her birthstone is usually a good choice. If she likes to read, a gift card for Amazon could be fun. If you know her likes and dislikes, you might choose some art or craft supplies to get her started on a new hobby like tie dye t-shirts jewelry making. This is her 13th birthday? Get her a nice Journal and pretty pen to celebrate her entry into teenhood.