SACRAMENTO — Gov. Jerry Brown has until Sunday to decide the fate of 350 bills on his desk, including legislation that would create net neutrality regulations in California, expand access to abortion pills at public universities and increase public access to police misconduct records.

Brown can either sign or veto bills or let them become law without his signature. Bills go into effect Jan. 1, unless another date is specifically listed in the legislation.

Brown has yet to weigh in on SB822 by Sen. Scott Wiener, D-San Francisco, which would create the strongest net neutrality protections in the country. Those regulations would bar internet service companies from slowing rival websites or those that don’t pay for faster service.

The bill has faced intense opposition from the telecommunications industry, which argued that it is a federal issue and that state-by-state regulations are impractical.

Three other bills by Wiener are also on Brown’s desk. SB905 would allow San Francisco, Oakland and seven other California cities to keep their bars open until 4 a.m.

SB1045 would create a five-year pilot program in San Francisco, Los Angeles and San Diego counties, under which officials would have more control over who can be involuntarily held for mental-health treatment. The bill would ease conservatorship laws so that severely mentally ill people with drug and alcohol addiction could be forced off the streets and into treatment.

SB221would bar gun shows at the state-owned Cow Palace exhibition hall in Daly City, beginning in 2020.

Another bill awaiting Brown’s decision: SB320 by Sen. Connie Leyva, D-Chino (San Bernardino County), to require health centers at University of California and California State University campuses to offer abortion pills. That bill would take effect in 2022.

Leyva also authored a bill that is on Brown’s desk to require all rape kits to be tested promptly in California. SB1449 would require rape kits — evidence collected after a sexual assault — to be sent to a lab within 20 days, and for labs to complete their analysis within 120 days.

A companion bill, AB3118 by Assemblyman David Chiu, D-San Francisco, is also awaiting Brown’s decision. It would create the first statewide count of untested rape kits by requiring law enforcement agencies to report how many they have to the state Justice Department by July 1.

Prosecutors and criminal justice reform groups are closely watching Brown’s verdict on SB1437 by Sen. Nancy Skinner, D-Berkeley, which would change the state’s felony murder rule that holds an accomplice in an offense such as robbery liable for a homicide that happens during the crime, regardless of whether the defendant was involved in the killing.

More than two-thirds of California’s top county prosecutors sent a letter to Brown asking that he veto the bill.

Skinner has another pending public safety bill, SB1421, which would make police misconduct records public when an officer commits sexual assault, lies on the job by planting evidence or falsifying reports.

Corporations in California are monitoring a bill that would require publicly traded companies in the state to have at least one woman on their boards of directors by the end of 2019. SB826 by Sen. Hannah-Beth Jackson, D-Santa Barbara, would then require by 2021 that companies have two women for five-member boards and three women for boards of six or more members.

Melody Gutierrez is a San Francisco Chronicle staff writer. Email: mgutierrez@sfchronicle.com. Twitter: @MelodyGutierrez