Varijashree was born to musician parents Vidwan Sri H.S. Venugopal and Smt. T.V. Rama. Varijashree was found to have the rare ability to identify about 50 ragas when she was a 18-month-old toddler and about 200 ragas at the age of 4. She was initially trained by her father, Flute Vidwan H.S. Venugopal.

Varijashree began undergoing formal training in Carnatic music under Vidhushi H. Geetha at the age of 4. She has also learned a few rare compositions from Vidhushi Vasantha Srinivasan and Vidwan D.S. Srivatsa and later, took higher music lessons under Gaanakalanidhi Vidwan Salem P. Sundaresan. She has been undergoing flute training under her father Vid. H. S. Venugopal.

She gave her first full fledged Carnatic vocal performance at the tender age of 7, at the prestigious platform of Bangalore Gayana Samaj. She was very much well appreciated by critics and music lovers.