Biryukova was born in Omsk (also home to two-time Olympic champion Evgenia Kanaeva, 2004 Olympic silver medalist Irina Tchachina, Soviet World champion Galima Shugurova, 1987 World champion Tatiana Druchinina and 2012 London Olympics Group all-around champion Ksenia Dudkina). She began gymnastics at five years old under the encouragement of her mother, her first coach was Natalia Glemba, she studied at the Omsk schools number 61 and 125 where she began training with Elena Arais and her mother Vera Shtelbaums.