Heat a small nonstick skillet coated with cooking spray over medium-high heat. Add mushrooms, shallots, and garlic, and sauté 2 minutes or until mushrooms are tender. Stir in spinach, basil, and vinegar, and cook 1 minute or until spinach wilts, stirring frequently. Add broth and olives; cook 15 seconds.
Combine mushroom mixture, pasta, oil, pepper, and salt, tossing gently to coat. Spoon pasta mixture onto a plate; top with cheese.