Start by boiling the pasta according to package instructions until al dente. Drain it and toss with a tablespoon of olive oil to prevent sticking.
Cut the chicken into bite-sized cubes and season with lemon pepper. Heat olive oil in a skillet, cook chicken until opaque, then add garlic and brown lightly. Remove from heat.
In the same skillet, heat the remaining olive oil and add broccoli. Sauté just until crisp-tender to preserve nutrients and texture.
Return the chicken to the skillet, add the cooked pasta, lemon juice, and zest. Toss everything together until well-coated and flavorful.
Top with freshly grated Parmesan and a few lemon wedges for extra zest. Serve immediately while warm.