Bliznyuk was part of the gold medal winning Russian Group at the 2012 European Championships and at the World Cup Final in Minsk, Belarus. She won a gold medal at the 2012 Summer Olympics in the group all-around event together with other group members (Uliana Donskova, Ksenia Dudkina, Alina Makarenko, Anastasia Nazarenko, Karolina Sevastyanova).