Preheat oven to 350°F. Grease a 9 x 13-inch baking dish or spray with nonstick cooking spray. Set aside.
Pat sundried tomatoes dry with a paper towel and chop; reserve oil in the jar. Set aside.
Cook the pasta in a large pot of well-salted boiling water, according to package directions for 1 minute less than al dente. Drain.
While the pasta cooks, heat 2 tablespoons of the oil from the sundried tomato jar in a large skillet or Dutch oven over medium-high heat. Add the onion and saute until just starting to soften, about 3 minutes. Season the chicken with salt and pepper, and then add the garlic and chicken to the skillet with the onion. Saute until the chicken is cooked through, about 3-4 more minutes. Stir in the wine, basil, and parsley; cook for 1 more minute, scraping up any browned bits from the bottom of the pan.
Add the cooked pasta, sun-dried tomatoes, thawed broccoli, Alfredo sauce, and milk to the chicken mixture. Stir to combine. Taste and season with salt and pepper, as needed.
Transfer the mixture to the prepared baking dish. Top with Italian blend cheese.
Bake, uncovered, for 25-30 minutes, until the cheese is melted and the filling is hot and bubbly. Garnish with chopped fresh parsley, basil, or Parmesan just before serving.