Preheat the oven to 400°F. In a large bowl, toss the broccoli florets with 1 tablespoon olive oil, 1/4 teaspoon salt, and the black pepper. Spread the broccoli on a baking sheet and place it in the oven to roast for 18 to 20 minutes.
While the broccoli roasts, stir together the honey, minced garlic, soy sauce, and remaining 1 tablespoon olive oil in a small bowl to make the glaze.
Pat the salmon fillets dry and sprinkle them with the remaining 1/4 teaspoon salt. Heat a large skillet over medium heat. Add the salmon and cook for 4 minutes on the first side.
Flip the salmon and pour the glaze into the skillet. Spoon the glaze over the fillets as they cook for another 3 to 4 minutes, until the fish flakes easily and the glaze thickens slightly.
Remove the broccoli from the oven. Serve the salmon with the roasted broccoli and lemon wedges on the side.