At Wakulla High School, Bradham had consecutive 145-tackle seasons, including a senior campaign in which he also registered 12 sacks and four defensive touchdowns in leading Wakulla to a district championship. As a junior he tallied 145 tackles, eight sacks and four interceptions, two of which he returned for TDs. Bradham recorded over 430 tackles and 20 sacks during his three-year career on the varsity football team at Wakulla.
Bradham was named to All-American teams by Parade, SuperPrep, and USA Today, among others. He was a finalist for the Hall Trophy and recorded four tackles in the 2008 U.S. Army All-American Bowl. Considered a five-star recruit and the ranked first among outside linebacker prospects by Rivals.com, Bradham had numerous scholarship offers but decided to attend Florida State early in April 2007.
As a true freshman in 2008, Bradham was in the linebacker rotation from opening day and played in each of the Seminoles' 13 games during the regular season, mostly at weakside linebacker. He made his first career start in the Seminoles' victory over the University of Miami. Bradham finished the season as fourth-leading tackler among the Seminoles' linebackers and Florida State's leading true freshmen tackler with 29 stops.
In his sophomore year, Bradham had 12 starts and led the Seminoles with 93 tackles (62 unassisted). He also recorded 5.5 tackles for loss, two sacks, one interception and finished second on the team with two fumble recoveries. Bradham earned honorable mention Sophomore All-American honors from College Football News.