The 25-year-old, who also featured for Chichester City, Pagham and Selsey early in his career, has been snapped up by Rovers following a successful trial.
Broadbent featured for Hayes & Yeading last season, as well as impressing in several matches for The Army in the Inter Services League.
The defender has been with Rovers since they returned for pre-season and his efforts have now seen him rewarded with a first-ever professional contract.
Speaking to bristolrovers.co.uk Broadbent said: "I came in on July 3 and I was nervous but I'd worked hard over the summer to keep myself fit.
"I've enjoyed my time so far, the lads have been welcoming, so that's a great help aswell.
"It's a massive club with a great fan base, it was a no-brainer for me to sign."
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