Goran Navojec grew up in Bjelovar, where he developed an early interest in the arts. After completing high school, he turned his attention to theater, which led him to begin an acting career in the early 1990s.

His first notable film role was in 1994's "Vukovar se vraća kući". He subsequently appeared in films such as "Kako je počeo rat na mom otoku" (1996), "Tri muškarca Melite Žganjer" (1998) and "Ne dao bog većeg zla" (2002). In 2011, he starred in "The Parade", playing the character Roko.​

On television, Goran Navojec is known for his role as Dr. Toni Grgeč in the comedy series "Naša mala klinika", which aired from 2004 to 2007. He also played Refko Mujkić in "Lud, zbunjen, normalan" between 2010 and 2015. Since 2020, he has played the lead role in the series "Mrkomir Prvi".​

In addition to his acting career, Navojec is active in the music industry. Since 2010, he has been a member of the Bosnian pop-rock band Karne, with whom he released the album "Diktatura amatera" in 2012.​