Next, preheat your grill to 500 and prepare the shrimp. Pat shrimp dry with a paper towel. Add to mixing bowl and toss with a glug of olive oil, and some salt and pepper. Thread onto soaked wooden skewers.
Place shrimp onto hot grill and cover. Cook shrimp for about 3 minutes, then flip. Cook for about another 3 minutes on the next side - or until shrimp appears fully pink on both sides. Timing is less important than monitoring the color as all grills will cook at a different rate. Be careful not to overcook.
Remove from grill and serve topped with the gremolata, with additional on the side.