Preheat the grill and coat a baking tray or broiling pan with olive oil.
Rinse the fish and pat dry. Place on the greased pan and brush with olive oil or coat with olive oil cooking spray. Squeeze the juice from the lemon wedges over the entire fillet and season generously with salt first, then garlic and finally dill.
Grill for 15 to 20 minutes in the preheated oven until the fillet is opaque and can be flaked with a fork. Grilling time may depend on the thickness of your fillets.