Bacewicz was born in Łódź. Her father and her brother Vytautas, also a composer, identified as Lithuanian and used the last name Bacevičius; her other brother Kiejstut identified as Polish. Her father, Wincenty Bacewicz, gave Grażyna her first piano and violin lessons . In 1928 she began studying at the Warsaw Conservatory, where she studied violin with Józef Jarzębski and piano with Józef Turczyński, and composition with Kazimierz Sikorski, graduating in 1932 as a violinist and composer . She continued her education in Paris, having been granted a stipend by Ignacy Jan Paderewski to attend the École Normale de Musique , and studied there in 1932–33 with Nadia Boulanger (composition) and André Touret (violin). She returned briefly to Poland to teach in Łódź, but returned to Paris in 1934 in order to study with the Hungarian violinist Carl Flesch .