Season sea bass with salt and pepper. Heat 2 tablespoons olive oil in heavy large skillet over high heat. Working in batches if necessary, add fish to skillet and cook 2 minutes per side.
Transfer to rimmed baking sheet. Spread 2 tablespoons tapenade atop each fish fillet. Bake fish until opaque in center, about 8 minutes. Transfer to plates. Garnish with lemon wedges and with parsley sprigs, if desired.