After doing freelance reporting for NPR's All Things Considered, Bleyer began his television writing career as a writer and producer for Politically Incorrect with Bill Maher from 1996-2002. He was part of a writing team that was nominated for WGA Awards in 2001 and 2002. He then wrote for the critically-acclaimed Bravo series Significant Others and created and executive produced the Showtime pilot Nightly, in which he was also featured as an on-air correspondent. In 2003, Bleyer became a writer and producer on Dennis Miller, a position he held until the show's cancellation in 2005.

In 2005, Bleyer joined the writing staff of The Daily Show, where he has worked on over 1000 episodes and several specials, earning two Emmys in the process. He also shared a WGA Award in 2010 for his work on the show in 2009.

Bleyer was also one of several Daily Show writers to write for the 80th Annual Academy Awards in 2008, when Jon Stewart served as host.

Among the first contributors chosen to launch The Huffington Post, Bleyer is a frequent commentator for National Public Radio. He also reported from Iraq as part of The Daily Show's "Operation: Silent Thunder," featuring correspondent Rob Riggle, in 2007. That same year, he was profiled by Charlie Rose.

In 2008, Bleyer participated in a mock debate before the United States Congress based on the 2007—2008 Writers Guild of America strike, which involved multiple sitting Congresspeople. He also spoke to NPR about his involvement in the strike.

Since 2008, Bleyer has contributed to a number of U.S. President Barack Obama's speeches, including the President's 2010 address at the annual White House Correspondents Dinner. After the speech, reporters from several outlets reported erroneously that The Daily Show staff worked on the President's remarks. The White House and Comedy Central clarified that Bleyer worked independently on the speech, in light of accusations of the show being too close to President Barack Obama.

Bleyer is also the author of the upcoming book Me The People: An Order to Form a More Perfect Union, which will be published by Random House in late 2011.

Bleyer was raised in Washington and had a role in the movie Twice in a Lifetime as a teenager. He went on to attend Stanford University, where he studied communications and computer engineering and earned a degree in the former in 1993. He also was active in a cappella and drama at the university and had an internship at New York's Public Theater.

Bleyer currently lives in New York.