Update July 2010: The answers have been posted (click)
Separate page with the video above...
You may ask him a question - via YouTube or Facebook. If you choose YouTube, you have to record your question as a video and
17 questions have been asked in this way. Some of them are strange. For example, a primitive idiot from the U.K. Labour Party who pompously calls himself Prof Robert Winston asks how Gross can possibly justify the research of something as useless as string theory. ;-)
Alternatively, you may just write your question on Facebook, at a page created by the FB account of Nobelprize.org.
You may also be inspired by one of the ten videos with David Gross at Closer to Truth (PBS). (Via Backreaction.)
The deadline is on Friday, June 25th (explanation).