Prepare the Gorgonzola Butter: In a small bowl, combine the softened unsalted butter, crumbled Gorgonzola cheese, chopped chives, minced garlic, and black pepper. Use a fork or a small spatula to mash and mix until well combined and relatively smooth. For best results, form the butter mixture into a log using plastic wrap, twist the ends, and chill in the refrigerator for at least 30 minutes to firm up. This also allows the flavors to meld beautifully.
Prepare the Steaks: Remove the steaks from the refrigerator about 30-60 minutes before cooking to bring them closer to room temperature. Pat the steaks thoroughly dry with paper towels; this is crucial for achieving a good sear. Season both sides generously with kosher salt and freshly ground black pepper.
Sear the Steaks: Heat a heavy-bottomed skillet, preferably cast iron, over high heat until it's smoking lightly. Add the olive oil to the hot pan. Carefully place the seasoned steaks into the skillet. Sear for 3-5 minutes per side for medium-rare, or adjust according to your desired doneness. For a perfect crust, avoid moving the steaks too much during searing.
Finish Cooking (Optional, for Thicker Steaks): If your steaks are very thick (over 1.5 inches) or you prefer a higher doneness, you can transfer the skillet to a preheated oven at 375°F (190°C) after searing. Cook for an additional 5-10 minutes, or until the internal temperature reaches your desired level of doneness (e.g., 130-135°F for medium-rare).
Rest the Steaks: Once cooked, transfer the steaks to a cutting board and tent loosely with foil. Let them rest for 5-10 minutes. This resting period allows the juices to redistribute throughout the meat, resulting in a more tender and flavorful steak. Do not skip this step!
Serve with Gorgonzola Butter: Slice the chilled Gorgonzola butter into thick medallions. Place a generous medallion (or two!) on top of each hot, rested steak. The residual heat from the steak will gently melt the butter, creating a rich, flavorful sauce. Serve immediately and enjoy your gourmet Gorgonzola Butter Steak!