G2 is Genesis v2.0 geometry. Fisher marketed Genesis geometry, as a short back end, long top tube and short stem setup on 26ers and 29ers. Idea was better climbing but the same wheelbase as normal setups so a stable, non twitchy ride.
G2 was a revised version, with a slacker head angle (somewhere around 69deg) and increased fork offset from about 45 ish, to 51mm. This was to keep the fork trail similar to steeper head angled bikes with normal offset forks, te keep steering sharp, but have the slacker angle to help make the front end feel stable, especially on the downs.