01 - Remove the ribeye steaks from the refrigerator approximately 20 minutes before cooking to allow them to come to room temperature. Pat both sides thoroughly dry with paper towels to ensure a proper sear.
02 - Season both sides of each steak generously with salt and freshly ground black pepper, pressing the seasonings lightly into the surface.
03 - Heat the olive oil in a heavy skillet, preferably cast iron, over high heat until the oil just begins to shimmer and lightly smoke.
04 - Carefully lay the seasoned steaks into the hot skillet. Sear for 2 to 3 minutes per side without moving, until a deep golden-brown crust forms on each surface.
05 - Reduce the heat to medium. Add the unsalted butter, minced garlic, and rosemary sprigs to the pan, allowing the butter to melt and become foamy while the garlic releases its aroma.
06 - Tilt the skillet slightly and use a large spoon to continuously baste the steaks with the hot garlic herb butter for 2 to 3 minutes, spooning it over the top repeatedly. Cook until the internal temperature reaches 130°F for medium-rare, adjusting time for preferred doneness.
07 - Transfer the steaks to a warm plate and let them rest for 5 minutes before slicing. This allows the juices to redistribute throughout the meat for maximum tenderness and flavor.