That is Kate Brown, Jerry's sister, current Gov of the people's republic of Oregon
No. Not the same family. Jerry Brown’s sister is Katherine Brown Rice and was never a politician.
Kathleen Lynn Brown, the youngest of four children of former California Governor Pat Brown, sister of former governor Jerry Brown. She served as the 29th Treasurer of California from 1991 to 1995.
https://en.wikipedia.org/wiki/Kathleen_Brown
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Katherine (Kate) Brown is an American politician and attorney serving as the 38th governor of Oregon since 2015.
She is the country’s first openly bisexual statewide office holder and first openly bisexual governor.
https://en.wikipedia.org/wiki/Kate_Brown