California lawmakers are planning to infuse the California attorney general’s office with money and staff to help it write regulations under the state’s new online privacy law.

The law, A.B. 375, lets consumers learn what information companies are collecting about them, whether it’s being sold, and to whom. Consumers also can demand that companies delete their personal information and choose whether companies can sell it.

Attorney General Xavier Becerra’s (D) office has told Brown’s Department of Finance that the...