Preheat the oven to 400°F (200°C). Lightly grease a 9x13-inch (23x33 cm) baking dish with olive oil or cooking spray.
Prepare the salmon: Pat the salmon fillets dry with paper towels and arrange them in a single layer in the prepared baking dish. Season generously with kosher salt and black pepper on both sides.
Add aromatics: In a small bowl, combine the minced garlic and olive oil. Rub the mixture evenly over the top and sides of each salmon fillet.
Layer toppings: Scatter the halved kalamata olives, chopped sun-dried tomatoes, and capers (including the caper brine) over the salmon fillets, ensuring an even distribution.
Bake: Transfer the dish to the preheated oven and bake for 16–20 minutes, or until the salmon is opaque, flakes easily with a fork, and reaches an internal temperature of 145°F (63°C).
Garnish and serve: Remove from the oven and sprinkle the fresh dill over the top. Serve immediately with a dollop of Greek yogurt or sour cream, if desired.