Bring a pot of salted water to a boil and cook the whole wheat penne according to package directions until al dente.
During the last 3 minutes of pasta cooking, add the broccoli florets to the boiling water to blanch them.
Drain the pasta and broccoli, reserving 2 tablespoons of the starchy pasta water.
While pasta cooks, dice the chicken breast into bite-sized pieces and season with sea salt and black pepper.
Heat olive oil in a large skillet over medium-high heat and sauté the chicken until golden and cooked through, about 5-6 minutes.
Add minced garlic to the skillet and cook for 1 minute until fragrant.
Reduce heat to low and add the cooked pasta, broccoli, Greek yogurt, parmesan cheese, and reserved pasta water to the skillet.
Toss everything together gently until the yogurt forms a smooth, creamy sauce that coats the pasta and chicken.
Serve immediately while warm.