Gubacsi was originally coached by Jozsef Hegedus, but he would later be replaced by Attila Door. She was born to parents Julianna (née Harangozo) and Mihaly Gubacsi, who own a hotel. She is a baseline player who likes all court surfaces, and she says her best shot is a secret. Her goal is to reach the Top 50 in tennis. Gubacsi states she enjoys visiting Paris, New York and Bali. Her favorite movie is Dirty Dancing, and her favorite author is Danielle Steele. She also owns a St. Bernard named Fanny.