Preheat grill to medium-high heat.
In a small bowl, combine lemon juice, lemon zest, minced garlic, olive oil, dried dill, salt, and pepper.
Place salmon fillets in a shallow dish and pour the marinade over them. Marinate for 15-30 minutes.
In a medium saucepan, combine quinoa and water or vegetable broth. Bring to a boil, then reduce heat to low, cover, and simmer for 15-20 minutes, or until quinoa is cooked and liquid is absorbed. Remove from heat and let it sit, covered, for 5 minutes. Fluff with a fork.
While the quinoa is cooking, steam the broccoli, carrots, and green beans until tender-crisp, about 5-7 minutes.
Grill the marinated salmon fillets for 4-5 minutes per side, or until cooked through and easily flaked with a fork.
Divide the cooked quinoa, steamed vegetables, and grilled salmon among 4 plates.
Drizzle with lemon juice and garnish with chopped fresh parsley before serving.