The car in question uses a dual clutch transmission. You can operate it in either automatic or manual mode. In manual mode you're selecting the gears yourself using paddle shifters. But there's no clutch pedal.
The automatic mode is technically "automatic-manual" in that it operates differently than a true automatic transmission. The computer shifts gears in lieu of you using the paddle shifters. It tends to be slightly jerkier than a true automatic.
These days its extremely rare to find a new-release supercar with a stick-shift manual. They almost all use dual-clutch paddle shifters.