Frogboy has posted a tentative schedule for the ALpha/Beta schedule for the game
March 2014: Alpha 1
(the version you have now along with some minor updates)
April 2014: Alpha 2
(this version will begin to address early feedback and some new UI improvements, tech tree changes, ideology tree changes)
May 2014: BETA 1!
(This version is when the Founder Elite Edition goes away and is replaced by the normal, $49.99 game which is expected to be priced at a discount. So those people who don't like the $99 Founder Elite Edition who just want GalCiv III and would like to get it early and at a discount, this is the version you'll want.
June 2014: BETA 1A
(this version is expected to bring in the Shipyard -- the in game ship designer amongst other things)
August 2014: BETA 2
(Diplomacy, Trade, Influence victories, culture, more in depth economics)
October 2014: BETA 3
(The Fleet Combat screen)
Beyond this point: Polish, Tweaking, Fixing, repeat.