It would definitely be an experience and looks good on a resume. Would they let you continue your education while enlisted or at least subsidize education afterwards? I can't claim to know your frame of mind but if it is something you want to do, go for it.
I already have a few years in. The only thing they provide is a finite position/rotation at the end of it. Also, getting away from it all is attractive.
It's probably only because my uncle was a high ranking member, but it's something I'm going to need to consider... it wasn't my first choice... my intention when I started Medicine was infectious disease.. don't know if I'd really want to be involved in surgery, especially trauma.