Indrė Baikštytė is the grand-daughter of Eduardas Balsys. She studied at the National M. K. Čiurlionis School of Arts, the Lithuanian Academy of Music and Theatre (LAMT, under prof. O. Šteinberg, I. Armonienė, D. Balsytė, P. Geniušas), and honed her skills at the Berlin University of the Arts. In 2015, she defended her dissertation on the collaboration between soloist and pianist-concertmaster, and was awarded a PhD in Art.
Baikštytė is a laureate of more than ten national and international solo, concertmaster and chamber ensemble competitions in Canada, Romania, Sweden and the Ukraine. As a soloist she has appeared with the Lithuanian National Symphony Orchestra, Kaunas City Symphony Orchestra, Lithuanian Chamber Orchestra, Klaipėda Chamber Orchestra and St. Christopher Chamber Orchestra. She collaborates with Lithuanian and foreign performers, has given concerts in many European countries, as well as in Canada, Russia and Israel. Since 2009, Baikštytė has enjoyed invitations to perform solo piano parts with Kremerata Baltica. In 1995, the pianist started performing with violinist Rūta Lipinaitytė. The musicians have formed Domino Duo. Willingly performing and promoting the works of Lithuanian composers, Baikštytė took part in the recording of albums of music by A. Šenderovas, F. Latėnas, J. Juozapaitis, Š. Nakas, Ž. Martinaitytė, and other composers.
In 2002–2003, Baikštytė worked as a concertmaster-tutor at the Berlin University of the Arts. Currently, she is an associate professor at the Chamber Ensemble Department of the Lithuanian Academy of Music and Theatre, and a teacher at the National M. K. Čiurlionis School of Arts where she also heads the Chamber Ensemble Department.