California Code, Penal Code - PEN § 4852.17

Whenever a person is issued a certificate of rehabilitation or granted a pardon from the Governor under this chapter, the fact shall be immediately reported to the Department of Justice by the court, Governor, officer, or governmental agency by whose official action the certificate is issued or the pardon granted.  The Department of Justice shall immediately record the facts so reported on the former criminal record of the person, and transmit those facts to the Federal Bureau of Investigation at Washington, D.C.  When the criminal record is thereafter reported by the department, it shall also report the fact that the person has received a certificate of rehabilitation, or pardon, or both.

Whenever a person is granted a full and unconditional pardon by the Governor, based upon a certificate of rehabilitation, the pardon shall entitle the person to exercise thereafter all civil and political rights of citizenship, including, but not limited to:  (1) the right to vote;  (2) the right to own, possess, and keep any type of firearm that may lawfully be owned and possessed by other citizens;  except that this right shall not be restored, and Sections 17800 and 23510 and Chapter 2 (commencing with Section 29800) of Division 9 of Title 4 of Part 6 shall apply, if the person was ever convicted of a felony involving the use of a dangerous weapon.