Guðrún has done some recordings for the harpsichord and appeared as a soloist, accompanist or as a participant in chamber music on numerous recitals and concerts in Iceland and elsewhere in Europe. She has performed with the Skálholt Bach Chamber Orchestra, the Reykjavík Chamber Orchestra and with the Iceland Symphony Orchestra. Guðrún has been the harpsichord player of the CAPUT ensemble from 1992.
After receiving a diploma as a piano teacher from the Reykjavík College of Music in 1996, Guðrún studied the harpsichord with Helga Ingólfsdóttir. Later her teachers were Anneke Uittenbosch at the Sweelinck Conservatorium in Amsterdam, Jesper Böje Christensen at the Scola Cantorum in Basel and Francoise Langéllé in Paris.