Boserup was born in Santa Monica, California to two Danish parents and began working with famed coach Robert Lansdorp at the age of 6.

[3] After her retirement from professional tennis Boserup earned her MBA from the University of Chicago Booth School of Business.

[6] Boserup won the USTA Orange Bowl in 2008, outlasting fellow American Christina McHale in three sets, in the final match.

After qualifying, Boserup made her Grand Slam main-draw debut at the 2016 Wimbledon Championships, where she defeated Tatjana Maria in the first round.

In the second round, Boserup triumphed over Belinda Bencic due to a second set retirement before she was beaten by Elena Vesnina.