Forgive my ignorance, but I couldn't find any documentation on this subject.

This is the first time I've been part of an SE private beta and I am unfamiliar with the process. The info page you have to read and accept before posting makes clear the beta exists for seven days, and that it will be judged on the number of high quality questions it generates.

That is, of course, subjective. Who is judging the quality of the questions, how are they assessed, and what bar are we aiming for to extend the site beyond seven days?

And for that matter, what's the next step if we make it through beta?