You are supposed to establish California residency to get a driver's license--nothing in AB60 changes that. When I went to get my license, that requirement was fulfilled because my EAD had a California address. Otherwise you can fulfill that by showing:

From AB60 (pg 17, line 21): "A home utility bill, lease or rental agreement, or other proof of state residency, as designated by DMV"

DMV's prima facie evidence of residency for driver’s licensing purposes includes:
(A) Address where registered to vote.
(B) Payment of resident tuition at a public institution of higher education.
(C) Filing a homeowner’s property tax exemption.
(D) Other acts, occurrences, or events that indicate presence in the state is more than temporary or transient.

HAVING SAID ALL THAT, I don't think they actually care about that requirement and rarely enforce it