I tend to agree with previous poster about getting a different bike first so if you drop it you won't hate yourself forever.
However, I was steered away from starting with a 250 as my first bike, and rightly so, you will outgrow that very quickly.
I started on an unimposing GR650 which had decent enough power but was about as fun to ride as public transport. As such, I rode it maybe 200-250 miles in the three years I owned it, so I did not get much practice on my "practice bike" before meeting and falling madly in love with the Stroms.
If you are comfortable on the Wee, I see no reason you cannot have one as a first bike. My suggestion would be to get a cheap Wee that isn't shiny, pretty and new then work your way up to a newer version when you have some miles behind you.
Also, read Proficient Motorcycling by David L. Hough and watch Twist of the Wrist (available on youtube.com) for some great technique advice.
2007 Blue Wee "Sookie Suzuki"