Cook the whole wheat pasta according to package instructions until al dente. Drain and set aside, reserving 1/2 cup of the pasta water.
In a large skillet, heat the olive oil over medium heat. Add the minced garlic and sauté for about 1 minute, until fragrant.
Add the broccoli florets to the skillet and cook for 3-4 minutes, stirring occasionally, until they are bright green and tender.
Pour in the vegetable broth and almond milk, bringing the mixture to a simmer. Stir in the nutritional yeast, salt, pepper, and red pepper flakes if using.
Add the cooked pasta to the skillet, tossing to combine. If the sauce is too thick, add reserved pasta water a little at a time until desired consistency is reached.
Remove from heat and let it sit for a couple of minutes to thicken. Garnish with fresh parsley before serving.