Bring a large pot of salted water to a boil. Cook the pasta according to package instructions until al dente. Reserve 1 cup of pasta water, then drain the pasta and set aside.
In a large skillet, heat the olive oil over medium heat. Add the minced garlic and sauté for about 1 minute, until fragrant (be careful not to burn it).
Reduce the heat to low and pour in the heavy cream, stirring gently. Add in the lemon zest and juice, and mix well until combined.
Gradually stir in the Parmesan cheese until melted and creamy. If the sauce is too thick, add a little reserved pasta water to reach your desired consistency.
Season the sauce with salt and pepper to taste.
Add the cooked pasta to the skillet, tossing it in the sauce until fully coated. If necessary, add more reserved pasta water to help blend the ingredients.
Serve immediately, garnished with fresh basil or parsley for a burst of color and flavor.