The overall experience is decent, though not yet up to the hype built around it (at least as compared to other existing apps out there). There is a guide-level UX that sorts itself by either current popularity, your friends' views of the show, or by the normal channel line-up. Unfortunately, it only recognizes Zeebox friends vs. recognizing content your friends have liked on Facebook via other applications.
The detailed show-level view is also well done, with a quick summary of the actors and relevant links to the deeper meta data surrounding the show. It also has a Twitter feed and provides the ability for you to comment directly during the show. However, the UX starts to get a little ugly here are the Twitter feed does not seem to curated and literally updated about once a second when I was trying it out, making it distracting to the viewing experience (as a comparison example, TVplus has curates the feed and promotes the "best" Tweet about every 45 seconds which is more manageable). It does have the concept of "Live ZeeTags" which seem to populated from the audio stream, but clicking on them generally yields useless information not really relevant to the show.
Social. While there is a good attempt at integrating Twitter and Facebook, the UX of that capability has a ways to go. It needs to be able to recognize your Facebook friends regardless of their sign-up for the app (same with content likes) and the Twitter feed needs to be curated (and if possible, recorded from the live broadcast so there are no spoilers). Medium.
Seamless. There is currently no feature that integrates anything but the live TV guide of your provider (Free to air, cable, satellite). None.
Stimulating. There is at least one currently synchronized show ("Desperate Scousewives"), an attempt at Live Zee Tags for relevant information, some more detailed information and links about the cast & crew, etc. It is no where near the level of Fanhattan yet, but heading in the right direction. Medium.
Discovery. I did not see evidence of a real discovery feature, but there was some rudimentary genre filtering based on friends recommendations, etc. None to Low.