Heat 1 tablespoon olive oil in a large skillet over medium-high heat and cook the ground beef, breaking it apart, until browned and cooked through, about 6-8 minutes. Season with salt, pepper, and Worcestershire sauce. Remove to a plate.
In the same skillet, add the remaining olive oil and sauté the sliced peppers, onions, and mushrooms until softened and beginning to caramelize, about 8-10 minutes.
Add the minced garlic and cook for 1 minute until fragrant, then return the cooked beef to the skillet and stir everything together.
Divide the cooked rice among 4 bowls.
Top each rice bowl with the beef and vegetable mixture, then lay 2 slices of provolone cheese over the hot mixture in each bowl.
Let sit for 1-2 minutes to allow the cheese to melt, then serve immediately.