This has been discussed many times, you should do a search and read the opinions. Honestly, it can be a good first bike, but it can also be too much. If you never rode a bike before, I'd be a tad worried about the height and top-heaviness of the Wee. It's not really noticeable once you know what you're doing, but learning on it may be tough.
Have you considered something with a bit less displacement? The 2008 Ninja 250 is a sweet little bike, I think it could be exactly what you want to learn on, and it's fairly cheap.
2008 DL650 a.k.a. Road Warrior, member #16 of the Flat Black Club
2009 Aprilia Tuono 1000R a.k.a. Silver Thunder