Salt, for cooking pasta and seasoning chicken
1 pound orecchiette
1 tablespoon olive oil, plus more for pasta
1 clove garlic, minced
1 small yellow onion, chopped into 1-inch pieces
Freshly ground pepper, to taste
1 skinless chicken breast, cut into 1-inch pieces
2 cups broccoli florets, lightly steamed
1/4 pound sun-dried tomatoes, chopped
Chile flakes, to taste
Parmesan, for garnish