Preheat the oven to 200 degrees Celsius. Rinse the quinoa and cook according to package directions in plenty of water, about fifteen minutes.
Cut the broccoli into florets and toss on a baking sheet with one tablespoon of olive oil, salt and pepper. Roast the broccoli for twenty minutes until tender with crispy edges.
Rub the chicken breast with salt, pepper and minced garlic. Heat the remaining olive oil in a pan and cook the chicken for about twelve minutes on all sides until golden brown and cooked through.
Spoon the quinoa onto a plate, arrange the broccoli alongside and place the chicken on top. Squeeze lemon over everything and serve.