As a true freshman in 2021, Bullard appeared in 14 games.[6] Against Charleston Southern, Bullard led Georgia in total tackles with six.[7] He finished the season with 12 total tackles.[8] The following season, Bullard started in the first two games, recording four tackles and one pass breakup.[9] On September 26, 2022, Bullard was arrested on DUI charges.[10][11] He would be suspended for one game before returning against Auburn.[12] Bullard would tally a career-high eight tackles in a victory over Florida.[13] Against undefeated Tennessee, Bullard tallied seven tackles and two sacks in a 27–13 win.[14] The following week, Bullard exited the game with a lower-leg injury, but he returned for the next game against Kentucky.[15][16] In the Peach Bowl, Bullard had a hit on Marvin Harrison Jr. that knocked Harrison out of the game with a concussion.[17] Georgia went on to win the game 42–41, with Bullard being named the game's defensive MVP.[18] During the 2023 College Football Playoff National Championship Game, Bullard recorded two interceptions and a fumble recovery before leaving the game with a shoulder injury.[19] He was named the game's defensive MVP.[20] During the 2023 season, Bullard recorded 55 tackles, a tackle for loss, and two interceptions before declaring for the 2024 NFL draft on December 31, 2023.[21][22]
Bullard was selected in the second round with the 58th overall pick of the 2024 NFL draft by the Green Bay Packers.[25] He signed his rookie contract on June 3, 2024.[26]