Golubeva was born in Leningrad. She was married to Šarūnas Bartas, a Lithuanian film director, but they divorced and Golubeva subsequently moved to France, where she lived until her death. The cause of her death remains unknown. Golubeva and Bartas had one child, a 15-year-old daughter who lives with her father in Lithuania. Golubeva also has an adult son by her first husband, who lives in Russia, and a 6-year-old daughter she was raising with Leos Carax in Paris.