1.
Cook the pasta according to package directions.
2.
While the pasta cooks, add the olive oil to a large sauce pan over medium-high heat. Add the garlic and stir constantly until toasted and fragrant. Add the broccoli along with a pinch of salt and stir well. Cook for about 6 minutes until the broccoli is about slightly tender. Add the herbs and 1 cup of the broth. Stir and bring to a simmer, and cook for another 4-5 minutes, stirring occasionally.
3.
Whisk the remaining broth with the corn starch. Add the broth/corn starch mixture to the simmering broth in the pan and stir well until the sauce thickens. Stir in the cheese and season with salt and pepper to taste.