I initially said this was a great deal thinking it was a 2014. I have since deleted my posts, now that I realized it is a 2013. Still it is certainly a better price than those who purchased 6 months ago. Edmunds has a invoice price of 29,454. for a 2013 GT-AWD w/tech. The Bose you mentioned should be included with the GT trim level. So as jtl mentioned above this is around 400. below invoice if you take the doc fee into consideration. However, the doc fee is usually not used in this calculation unless they are trying to charge you something outrageous to bump up the price. $337. sounds normal. So it's about $700 below invoice. A fair deal for a 2013 considering the 2014s are out.
Something to consider when purchasing an outgoing year: Someday when you sell or trade it's going to fetch very roughly about $1000. less than a 2014 sold on the same day. Unless you keep it a long, long time.