Bochy is the son of Giants manager Bruce Bochy. He finished 4-4 with a 3.83 in 35 appearances this year for Fresno, all but two in relief. He accumulated 47 strikeouts in 54 innings.
Brown will be recalled from Fresno along with right-hander Erik Cordier and first baseman Adam Duvall. Bochy's contract will be purchased along with that of right-hander Chris Heston's.
Right-hander Matt Cain and second baseman Marco Scutaro were transferred from the 15- to the 60-day disabled list to clear 40-man roster room.
Chris Haft is a reporter for MLB.com. Read his blog, Haft-Baked Ideas, and follow him on Twitter at @sfgiantsbeat. This story was not subject to the approval of Major League Baseball or its clubs.