Graužinienė was born in Rokiškis in northeastern Lithuania. She studied at Rokiškio Juozas Tumas-Vaižgantas gymnasium. She is married and has two children. Graužinienė has been the member of the Lithuanian parliament, the Seimas since 2004. She is the former leader of the Lithuanian Labour Party and was the speaker of the Seimas between October 2013 and November 2016. She unsuccessfully ran in the 2009 Lithuanian presidential election.