Yes, that's a very good price for a low-mileage '09 K13GT.
The K13 bikes are pretty much sorted out, with a few minor dealer fixes that should already have been done on that bike.
Pros are a stunning 160 hp motor, and advanced DuoLever suspension that makes the GT very quick and fun to ride. Plus it's 200 lbs lighter than an LT, although a bit heavier than an RT.
Cons are that it has less fairing than an LT, and a more leaned-forward riding position. I solved those issues with bar risers, peg extenders, and an Aeroflow windscreen, so now I have a bike that's lighter, faster, and just about as comfortable as the LT.
Read through this forum, and also through the K12/13GT forum
on K-bikes.com to get more detailed info.
Then go take one for a test ride and you'll know what to do.