Soak the cedar plank in water for at least 1 hour before grilling.
In a bowl, combine olive oil, lemon juice, minced garlic, brown sugar, smoked paprika, salt, and black pepper. Whisk until well combined.
Place the salmon fillet in a shallow dish and pour the marinade over it. Cover and let it marinate for about 15 minutes at room temperature.
Preheat the grill to medium heat (about 375°F or 190°C).
Remove the cedar plank from the water, pat it dry, and place it on the grill grates. Heat the plank for about 3-5 minutes until it starts to crackle and smoke.
Carefully place the marinated salmon onto the cedar plank, skin-side down.
Close the grill lid and cook the salmon for about 12-15 minutes, or until it reaches an internal temperature of 145°F (63°C) and flakes easily with a fork.
Once cooked, remove the cedar plank from the grill and let the salmon rest for a few minutes.
Carefully lift the fish off the plank using a fish spatula and garnish with fresh herbs before serving.