She is of mixed BengaliIndian and French-American descent. Her father is from Kolkata, West Bengal, India, while her mother is American, with French ancestry.
SenGupta was born in Washington, D.C. She got a B.A. in political philosophy from Carleton College, her J.D. from Washington & Lee University and an M.F.A. in playwriting from NYU’s Tisch School. She practiced law in Brooklyn, NY as a trial attorney with the Juvenile Rights Division of The Legal Aid Society of New York City. She then went for her MFA. During her time at NYU, she co-authored Mandatory Injustice: Case Histories of Women Convicted under New York's Rockefeller Drug Laws while working for the Correctional Association’s Juvenile Rights Project at NYU.