Soak the cedar plank in water for at least 1 hour to prevent it from catching fire on the grill.
In a bowl, combine olive oil, lemon juice, dill, minced garlic, salt, and pepper to create the marinade.
Place salmon fillets in a shallow dish and pour the marinade over them, allowing them to marinate for about 15 minutes at room temperature.
Preheat the grill to medium heat (about 350°F) or the oven to 375°F.
Place the soaked cedar plank on the grill and heat for about 3-5 minutes until it starts to smoke.
Place the marinated salmon fillets skin-side down on the cedar plank. Close the grill lid and cook for about 15-20 minutes, or until the salmon is opaque and flakes easily with a fork.
Carefully remove the cedar plank from the grill or oven using tongs and let the salmon rest for a couple of minutes before serving.
Serve the salmon with lemon wedges on the side for squeezing over the top.