The Italian manufacturer, official tyre supplier in both F1 and GP2, said the prize was part of its goal of developing young drivers.
"For the first time this season we will offer the winning GP2 driver the opportunity to test a Formula 1 car for a day," Pirelli's motorsport director Paul Hembery said.
"It fits in perfectly with our philosophy and that of GP2 of preparing young drivers as well as possible for the demands of Formula 1.
"Our test driver told me once that after his first day of testing with us, he had learned more about tyres than he had in his whole Formula 1 career up to that point.
"So we wanted to give another driver this opportunity as well, which makes GP2 even more relevant to drivers aiming for the pinnacle of motorsport."
GP2 Series chief Bruno Michel described the prize as a massive boon for the championship, adding: "This is a fantastic gift from Pirelli and a great incentive for all of our GP2 drivers whose ultimate goal is to step into Formula 1.
"We and Pirelli have the same ambition: prepare young blood for F1 where tyre management is crucial, as everyone knows."