A prolific chamber and orchestral musician, Gróa holds a violin position with the Iceland Symphony Orchestra and Brák Baroque Orchestra, and has performed with ensembles including the Iceland Opera Orchestra, North Iceland Symphony Orchestra, Connecticut Virtuosi, and has served as concertmaster of The Hartford Independent Chamber Orchestra. Gróa has appeared as a soloist with several orchestras, including the Iceland Youth Orchestra, University of Illinois Symphony Orchestra, and the Foot in the Door ensemble—the last with which she premiered Benjamin Park’s violin concerto, Huldufólk.
As a dedicated teacher and leader, Gróa is a board member for The Icelandic Chamber Music Festival and is on faculty at the Allegro Suzuki Music School and Akranes Music School. Honors include the Young Artist of Kópavogur award, the Landsbanki award, and, during her graduate years, a prestigious 20/20 honors chamber position at the Hartt School. Her former teachers include Anton Miller, Sibbi Bernhardsson, Auður Hafsteinsdottir, Margrét Kristjánsdóttir, and Lin Wei.