01 - Heat 1 tablespoon of olive oil in a large skillet over medium-high heat. Add the sliced onions and green peppers; sauté for 4-5 minutes until softened. Transfer to a plate and set aside.
02 - Add the remaining 1 tablespoon of olive oil to the same skillet. Add ground beef, breaking it up with a spatula, and cook until browned and crumbly, about 6-8 minutes. Drain excess fat if necessary.
03 - Stir in the garlic, Worcestershire sauce, salt, and pepper; cook for another 1-2 minutes. Return the sautéed peppers and onions to the skillet and toss to combine.
04 - Reduce heat to low. Arrange the sliced cheese over the beef mixture, cover, and let sit until the cheese is melted, about 2 minutes.
05 - Meanwhile, toast the split hoagie rolls under a broiler or in a toaster oven until golden.
06 - Spoon the cheesy beef mixture evenly onto the toasted rolls. Serve immediately.