Cook the pasta according to package instructions in a large pot of salted boiling water 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, being careful not to burn it.
Stir in the chopped sun-dried tomatoes and cook for another 2 minutes.
Pour in the heavy cream and add the dried dill. Stir well to combine and let it simmer for about 3-4 minutes until slightly thickened.
Add the capers and season with salt and pepper to taste. If the sauce is too thick, add a little reserved pasta water until you reach your desired consistency.
Toss the cooked pasta into the skillet with the sauce, mixing well to coat the pasta evenly.
Serve immediately, garnished with fresh dill and grated Parmesan cheese if desired.