Final answer:
Jerry Brown did not serve as Lieutenant Governor before being elected governor in 2010; he was previously Attorney General, Secretary of State, and Mayor of Oakland.
Step-by-step explanation:
The position that Jerry Brown did not hold prior to being elected governor in 2010 is Lieutenant Governor. Before his election as governor, Jerry Brown served as California's Attorney General from 2007 to 2011, Secretary of State from 1971 to 1975, and Mayor of Oakland from 1999 to 2007. He held various political positions throughout his career, but the role of Lieutenant Governor was not one of them before his 2010 gubernatorial election.