California Code, Civil Code - CIV § 8606

(a) A payment bond under this title shall be conditioned for the payment in full of the claims of all claimants and shall by its terms inure to the benefit of all claimants so as to give a claimant a right of action to enforce the liability on the bond.  The bond shall be given by an admitted surety insurer.

(b) An owner, direct contractor, or subcontractor may be the principal on the bond.

(c) A claimant may enforce the liability on the bond in an action to enforce a lien under this part or in a separate action on the bond.