Prepare the steak: let it come to room temperature and pat it dry with paper towels.
Rub the steak with olive oil, then season generously with sea salt and freshly ground black pepper on both sides.
Heat a cast-iron skillet or grill to high heat. Place the steak in the skillet and cook for 3-4 minutes on one side, then flip.
While cooking the second side, add the rosemary sprigs and crushed garlic cloves to the skillet to infuse the meat with flavor.
Continue cooking until the steak reaches your desired level of doneness (rare: 125°F, medium-rare: 135°F, medium: 145°F). Use a meat thermometer for the most accurate results.
When the steak is cooked to your liking, remove it from the skillet and let it rest for 5-10 minutes, allowing the juices to redistribute.
Serve the Steak Florentine sliced, drizzled with olive oil, and garnished with fresh rosemary. Offer a simple salad or grilled vegetables as a side.
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