The 21-year-old midfielder came off the bench 10 minutes into the second half of Tuesday night's League One clash and grabbed a 68th-minute equaliser with a curling shot.
Brentford had snatched a 10th-minute lead when Bournemouth defender Simon Francis looped a header from Adam Forshaw's free-kick back over goalkeeper Shwan Jalal and into his own net.
Matt Tubbs headed an equaliser seven minutes later, while Lewis Grabban twice went close before being tripped by Simon Moore with Charlie Daniels sending the Brentford goalkeeper the wrong way from the penalty spot to give Bournemouth the lead.
Moore did well to deny Francis before Forrester's equaliser, and the Bees keeper twice rescued his side in the closing stages - once from Tubbs and then a brilliant fingertip save on to the base of the post from Joe Partington.
