In a bowl, whisk together olive oil, lemon juice, garlic, oregano, thyme, salt, and pepper to create the marinade.
Place the chicken breasts in a resealable bag or shallow dish, and pour the marinade over them—Marinate in the refrigerator for at least 30 minutes.
While marinating, rinse quinoa thoroughly under cold water.
Bring chicken broth to a boil in a medium saucepan. Add the quinoa, reduce the heat to low, cover, and simmer for 15 minutes or until the liquid is absorbed.
Remove quinoa from the heat and fluff with a fork. Stir in parsley, basil, cucumber, red bell pepper, olive oil, and lemon zest. Set aside.
Preheat grill to medium-high heat. Remove chicken from marinade and grill for 6-7 minutes per side or until internal temperature reaches 165°F.
Remove chicken from the grill and let it rest for 5 minutes before slicing.
Serve grilled chicken over a bed of the herb quinoa salad.