Preheat your oven to 400°F and prepare a grill or grill pan over medium-high heat.
Rinse the quinoa under cold water, then combine with 2/3 cup water in a small pot, bring to a boil, reduce heat, and simmer covered for 15 minutes.
Toss the broccoli florets with half of the olive oil, minced garlic, salt, and pepper on a baking sheet.
Roast the broccoli for 15-20 minutes until the edges are tender and slightly charred.
Season the chicken breast with the remaining olive oil, lemon juice, and dried herbs of your choice.
Grill the chicken for 6-7 minutes per side or until the internal temperature reaches 165°F.
Fluff the quinoa with a fork and serve the sliced chicken over the grains with the roasted broccoli on the side.