Bezbradica started his career in
OKK Beograd. He spent there one season, averaging 5.3 points and 2.8 rebounds per game in the
Serbian League, and 8.7 points and 4.1 rebounds per game in the
BIBL. Next season, he signed for
BKK Radnički. In the
2012–13 Basketball League of Serbia, he averaged 9.3 points and 4.3 rebounds in 27 games for
Crusaders. In September 2013, Bezbradica signed a multi-year contract with
Partizan. In his first season with Partizan, he won the
Basketball League of Serbia defeating arch rivals
Crvena zvezda with 3–1 in the final series. In July 2015, he left Partizan. On 27 December 2015 Bezbradica signed with
Zrinjski Mostar of the
Bosnian League for the rest of the season. On 8 March 2016 he left Zrinjski and signed with Italian club
Varese. However, he never played in an official game for Varese. On 12 September 2016, Bezbradica signed a two-month deal with Latvian club
VEF Riga. On 30 November 2016 he parted ways with Riga. On 6 October 2021, Bezbradica signed with
BC Šiauliai of the
Lithuanian Basketball League (LKL). On 22 November 2023, he mutually parted ways with the club. ==National team career==