Preheat Oven: Set the oven to broil with the rack in the top third position. Line a large rimmed baking sheet with foil.
Prepare Salmon: Arrange lemon slices in a single layer on the prepared baking sheet. Place the salmon fillet, skin-side down, on top of the lemon slices.
- Rub the salmon with minced garlic and 1 tablespoon olive oil. Sprinkle with ½ teaspoon salt and ½ teaspoon pepper. Let it marinate for 10 minutes.
- Broil for 10 to 12 minutes or until the salmon flakes easily with a fork.
Make Green Herb Sauce: While the salmon is broiling, combine ¾ cup parsley, ¼ cup dill, 2 tablespoons shallots, 1 tablespoon lemon juice, green olives, chopped anchovy, the remaining 4 tablespoons olive oil, and ½ teaspoon salt in a blender.
- Process until smooth, 1 to 2 minutes, starting on low speed and gradually increasing to high. Use a tamper if needed to help blend the ingredients.
Serve: Place the salmon on a large platter and drizzle with the green herb sauce.