After a stale opening 45 minutes from both sides, the Seasiders found some life after the restart, with the winger breaking the deadlock in the 55th minute.
Ashley Fletcher neatly played the ball into Apter– who calmly slotted a shot past Taye Ashby-Hammond in the Boro goal.
The striker was also on hand with the assists for the 21-year-old’s second and third as well, with two well-placed passes into his path.
To double Blackpool’s lead, the winger produced a side-footed shot across the goal, while to complete his hat-trick, he smashed home a ball into the box.
Heading into the latter stages, Stevenage pulled one back through Carl Piergianni, but it was nothing more than a consolation.
Here’s how the Seasiders’ performed:
7. Rob Apter- 8
It was a sensational afternoon for Rob Apter, with the winger claiming a hat trick in the space of 12 minutes during the second half. Photo: CameraSport - Andrew Kearns
8. Lee Evans- 7
Lee Evans had the first shot of the game, and probably should've done better with it. On the whole, the midfielder was solid enough in the centre of the park. Photo: CameraSport - Andrew Kearns
9. Albie Morgan- 7
Albie Morgan was on hand with a few moments of quality in the centre of the park. Photo: CameraSport - Alex Dodd
10. Sonny Carey- 7
Sonny Carey wasn't quite to his usual levels, but still came close to scoring a couple of times. Photo: CameraSport - Andrew Kearns
11. Niall Ennis- 7
Niall Ennis had a couple of bright moments up front, and set up a couple of good opportunities for his teammates. Photo: CameraSport - Andrew Kearns
12. Ashley Fletcher- 8
Ashley Fletcher assisted all three of Apter's goals, with the striker showing quality in key areas. Photo: CameraSport - Andrew Kearns