Kaur was born in Pilani, Rajasthan.[1][2] Her father worked with the Indian Army, so she also lived and studied in Bathinda and Patiala, including at Yadavindra Public School, Patiala. In 1994, her father was killed in a terrorist attack in Kashmir. Thereafter, her mother started living in Delhi-suburb, Noida, where she grew up and did her schooling from Delhi Public School, Noida. After that she studied at Shri Ram College of Commerce, Delhi University, and started taking part in local theatre.