I dont think thats a good idea. She wont understand the Qur'an at all, as it is tied with the seerah and was revealed because of specific events from the Prophets (pbuh) life. So I would recommend you give her a book about the seerah, and also a book about the Qur'an, rather than the Qur'an itself. Once she understands the basics of Islam, then you can give her a good translation of the Qur'an, with commentary and explanations if possible.