Spaghetti Aglio e Olio - Once Upon a Chef

Ingredients

• 1 tablespoon + 3/4 teaspoon salt, divided
• 1 pound (16 oz) dried spaghetti
• 1/2 cup extra-virgin olive oil
• 1/3 cup thinly sliced garlic, from about 8 cloves
• 1/2 teaspoon crushed red pepper flakes, plus more for serving
• 1/3 cup fresh Italian parsley, finely chopped
• 3/4 cup freshly grated Parmigiano Reggiano or Pecorino Romano cheese, plus more for serving