Hoskins, signed from Bristol Rovers in 2011, netted the second goal late on after Andrea Orlandi had put the Seagulls ahead before the break.
Will Hoskins: "We did what we set out to do, play our way and not get fazed. It's a good result for us.
"This is why I signed here, great ambition and the club's fantastic.
"It was a really nice goal, I was pleased with that.
"I don't know how I did it to be fair but it was a nice goal.
"We all played really well. It's great for us."