Born in Tiberias, Gov moved to Tel Aviv with her family when she was three years old. She graduated from Thelma Yellin High School of Arts with theatre degree. By the beginning of the 1970s, she joined up with the IDF’s military entertainment troupe where she met her later husband Gidi Gov. Gov later studied for a year at the theater department of Tel Aviv University and she had a short career as a stage actress, but left after one play.
Gov found professional success as a writer. As a screenwriter, she wrote for television shows such as Zehu Ze!. She also wrote the screenplay for her husband's satirical late-night show. As a playwright, many of the plays Gov wrote were brought to some of Israel's prominent theatres, such as Cameri Theater in Tel Aviv. She was also responsible for the Hebrew translation of international plays such as Via Dolorosa and Mother Courage and Her Children.[citation needed] Gov's most famous play, however, was 2011's Happy End, which explores the central protagonist's battle with cancer. In 2012, she received the Rosenblum Prize for performing arts.