To prepare broccoli, put 2 cups of water in a pot. Put on the stove on high heat to boil. Once water has boiled, put broccoli either in steamer or in boiling water and cook for 4 minutes.
To prepare linguine, put water in pot to boil. Cook according to package directions.
To prepare chicken, while you are waiting for the pasta and broccoli to cook, slice the chicken into strips. Sprinkle with flour, salt and pepper.
In a large fry pan, heat oil and butter over medium high heat. Cook the chicken until no longer pink, about 5 minutes. Add minced garlic. Cook another minute. Stir in chicken broth. Turn heat up to high and bring to a boil until slightly thickened, about 2 minutes. Stir in lemon juice and parsley.
Your pasta should be done now. Drain the pasta and add to the chicken stock and lemon juice mixture. Add parmesan cheese and toss to coat.
To serve-plate pasta and chicken first. Add the broccoli, add a couple scringes of salt (that is 2 turns from a salt mill.)