Bradley was the No. 19 overall selection in last week's NBA draft.
Bradley was a shooting guard in his only year at Texas. He will serve as Rajon Rondo's understudy at point guard.
The 6-foot-3, 180-pound Bradley averaged 11.6 points last year. As a high school senior, ESPN chose him the national player of the year and the No. 1 prospect in the country.
Bradley is known as a strong defender and good outside shooter but a weak free throw shooter.