Quoted from GPG email I have JUST (!!) received and read:
This is a limited time offer. Signups for this cycle of the beta test
close on Friday, September 19th, though the beta itself is ongoing.
The "offer" is the chance to get into the beta if you buy the game.
So until the 19th, if you get the game you go into phase1 of the beta.
Elsewise, you'll have to wait until the second phase.