Preheat the grill to medium-high heat.
In a small bowl, combine the olive oil, lemon juice, garlic, dill, salt, and pepper.
Brush the salmon fillets with the mixture and place them on the preheated grill.
Cook for 5-7 minutes per side, or until the salmon is cooked through.
Meanwhile, in a separate bowl, combine the Greek yogurt, lemon juice, garlic, dill, salt, and pepper.
Serve the salmon with the Lemon-Dill Sauce.