Clearly, that "e-reader" is really a 10-inch Galaxy Tab: It's makingavideocall (not something you'd do on, say, a Kindle) and it has the same row of buttons on the bottom bezel as the smaller 7-inch Tab.
Simply sign into Skype with your existing Skype Name, or create a new account on your HDTV, and you are a few clicks away from makinga Skype videocall from the comfort of your couch.