No MkVI gasoline powered Jetta sedan has the DSG trans except the GLI and Jetta hybrid
It seems the VW site is a bit confusing as you're not the only one to notice this.
http://forums.vwvortex.com/showthread.php?5744219-2013-Gli-NO-dsg
However - I believe the last post is a bit incorrect as not all new turbo VW's have the DSG - 2.0T Tiguan (offered in the states) as an example has a conventional 6 speed auto.
EDIT: I was viewing the VW site first from my iPhone. Got to a computer and the mention of the DSG (at least on the Jetta model lineup page) is kinda buried in the small text. It was the last bullet point on that page.
"....Leather-wrapped, multi-function steering wheel with paddle shifters (DSG only)"
After clicking on the GLI model and then selecting the optional features tab it's says DSG with tiptronic and sport mode.
Sorry to be so long winded, but it is unfortunate that VW US site can be confusing and have wrong info. I remember when we purchased our MkVI Jetta sedan TDI and there was confusion if the power steering was hydraulic or electromechanical. VW's site said it was hydraulic in one section and then another it said it was the electromechanical. (Not trying to start a steering debate but Jetta sedan TDI has the electromechanical steering). Guess it is just the computers scanning the materials in and people possibly filling in the rest - or a general lack of incompetence. Might be the latter.