Preheat Wolf outdoor grill on high heat for 10 minutes.
To Boil Lobsters:
Place a large pot of water on burner and bring to a boil. Place the lobsters into the boiling water and cook for 12 minutes. Remove from the water and let cool.
To Grill Lobsters and Vegetables:
Slice the lobsters in half length ways.
Brush the lobster with the olive oil and place onto the grill flesh side down and cook for 6 minutes on each side.
In a small bowl combine the oil and vinegar. Add the peppers to the vinaigrette and season with salt and pepper.
Place the peppers onto the grill and cook for 5 minutes.
Remove the lobster from the grill and place onto serving platter. Place peppers into the center of the lobster and drizzle with fresh lemon juice.