Mjöll was born in Reykjavík, Iceland, the daughter of Svanhildur Jakobsdóttir, singer and TV and Radio Personality, and Ólafur Gaukur, jazz guitarist, film composer, songwriter, arranger and producer.
In high school she performed jazz numbers on her cello and at 18 she started singing professionally in local restaurants.
Mjöll obtained a college degree from Menntaskólinn í Reykjavík and studied at Sorbonne in Paris, France, before going to Los Angeles to play jazz.
[1][2] In the lyrics she sings about some of her idols including Ella Fitzgerald, Frank Sinatra, Elvis Presley, Sammy Davis Jr. and Dizzy Gillespie.
The CD included a number of notable musicians including Vinnie Colaiuta, Dave Carpenter, Don Grusin, Neil Stubenhaus, and Luis Conte, and was voted one of the top 5 female vocal jazz CDs of 2009 at Arnaldo DeSouteiro's Jazz Station.