Such a device will be pretty difficult to make and expensive. Touch screen mirrors are still under develepmenat and it will cost you a fortune:
What you can do it connect some speakers to a mirror so he could connect his IPOD or any other portable music device. You need to get some thin speakers so they would go well with the mirror . Or you can buy such a gadget:
http://www.pocket-lint.co.uk/news/news.phtml/5525/6549/fog-free-mirror-shower-speakers.phtml