Rinse the cleaned sea bream under cold water and pat it completely dry with paper towels. Dry skin helps achieve better grill marks and prevents sticking. Check for any remaining scales and remove them if necessary.
In a mixing bowl, whisk together lemon juice, olive oil, garlic, rosemary, thyme, salt, and black pepper. Stir until everything is well combined and fragrant. The fresh herbs will infuse the fish with plenty of flavor during marination.
Place the fish in a shallow dish and pour the marinade over it. Turn the fish several times to coat both sides evenly. Let it marinate in the refrigerator for 15 to 20 minutes for the best flavor.
Preheat the grill to medium-high heat, around 375°F (190°C). Clean the grates thoroughly and lightly oil them to prevent sticking. A properly heated grill helps create crispy skin while keeping the inside moist.
Place the sea bream skin-side down on the hot grill. Cook for about 5 to 6 minutes per side, depending on the size of the fish. The skin should become lightly charred and the flesh should flake easily with a fork.
While the fish grills, combine capers, parsley, chives, mint, and a squeeze of fresh lemon juice in a small bowl. This topping adds freshness and a bright contrast to the rich grilled fish.
Once cooked, transfer the sea bream to a serving platter. Allow it to rest for 2 minutes before serving. This helps the juices redistribute throughout the fish, keeping it moist and flavorful.
Spoon the herb and caper mixture over the grilled fish. Garnish with extra parsley, lemon wedges, and a drizzle of olive oil. Serve immediately while the fish is warm and juicy.