The senate approved a version in May, and sent it to the Assembly. The Assembly added some markup. Only in the last week did the Senate and Assembly vote on the same bill, which is the process needed to send a bill to the governor.
It has now gone through both houses of the legislature, presumably after the bill from May went through reconciliation. It is on its way to the governor, who, given its apparent lack of controversy, is likely to sign it.
http://articles.latimes.com/2012/may/21/business/la-fi-autos...
"California Senate passes bill for self-driving cars"