Cal. Welf. and Inst. Code § 5354.5
Except as otherwise provided in this section, the person recommended to serve as conservator shall promptly notify the officer providing conservatorship investigation whether he or she will accept the position if appointed. If notified that the person or agency recommended will not accept the position if appointed, the officer providing conservatorship investigation shall promptly recommend another person to serve as conservator.
The public guardian shall serve as conservator of any person found by a court under this chapter to be gravely disabled, if the court recommends the conservatorship after a conservatorship investigation, and if the court finds that no other person or entity is willing and able to serve as conservator.
Ca. Welf. and Inst. Code § 5354.5