Fire up your grill to medium-high heat (400 degrees F)
Cut your lemons in half and place cut side down on the grill & grill for 5 minutes remove one half to squeeze over the chicken and move the other 3 to a cooler part of the grill to continue to cook while the chicken grills
Coat the chicken with a drizzle of oil each side, season with the Garlic & Herb, and squeeze half the juice of the grilled half lemon over each side.
Cook the chicken over medium high heat for 4 minutes a side, or until the internal temp reaches 165 degrees F
Remove the chicken and lemons from the grill
Keep the chicken warm while you cook the rest of the dish
In a large lidded pot, cook the pasta in water with a Tbsp of the Olive Oil added.
Once the water achieves a boil, bring down the heat to a simmer
Add the pasta and cook for 6-8 minutes, testing the pasta every 4 minutes for the texture you like (I like mine more al dente, or slightly undercooked as it will cook some more with the chicken and pesto.
Remove the pasta from the pot and drain.
In a food processor, add the remaining ingredients except the bell peppers.
Pulse the pesto until you get a creamy green sauce.
Add the pasta and chicken to the pasta pot, pour over the pesto sauce and stir together over low heat.
Add seasonings to adjust the flavor to your taste - basil, garlic, black pepper, red pepper, or lemon juice.