16-year-old Pranjala, seeded 15th, handed a 6-4 6-2 thrashing to her unseeded opponent in the first round, which lasted slightly over one hour.
Pranjala broke her rival twice in each set while dropped serve one time. She saved two break points in the contest.
"I served well and was aggressive. My ground strokes were good and I played some good backhand winners too. I think my game suits the grass court," Pranjala said.
Pranjala next faces the winner of the match between Swiss girl Rebeka Masarova and American Michaela Gordon on Tuesday.
In the boys singles, India's Sumit Nagal will open his campaign against Argentina's Juan Pablo Ficovich.