Bullemor attended St Joseph's College, Nudgee where he achieved an OP 1 and played in the first XV Rugby.
Bullemor made his first grade debut in round 2 of the 2020 NRL season for the Brisbane Broncos against South Sydney starting from the bench.
[3][4] He made a total of 8 appearances for Brisbane in the 2020 NRL season as the club finished last on the table and claimed the wooden spoon.
[7] In round 1 of the 2022 NRL season, Bullemor made his club debut for Manly in their 28-6 defeat against Penrith scoring a try.
[9] Bullemor played 23 games for Manly in the 2023 NRL season as the club finished 12th on the table and missed the finals.