In a large pot over medium-high heat add butter and garlic. Stir for 1 minute or until fragrant.
Add milk, lemon juice, broth, pasta, salt and pepper. Stir and cover. Reduce heat to medium-low. Cook for 15-20 minutes or until pasta is cooked to your liking.
Stir in cheese, peas, and lobster until everything is combined. Garnish with parsley and a sprinkle of grated parmesan cheese.