Remove the filet mignon steaks from the refrigerator and let them sit at room temperature for 20-30 minutes to ensure even cooking.
Season the steaks generously with salt and freshly ground black pepper on both sides.
Heat olive oil in a skillet over medium-high heat until it shimmers but does not smoke.
Add the seasoned filet mignon steaks to the skillet and sear for 3-4 minutes on each side, or until a golden crust forms.
Add minced garlic, butter, rosemary, and thyme to the skillet, and baste the steaks with the melted butter for additional flavor.
For medium-rare doneness, cook the filet mignon until the internal temperature reaches 130°F (54°C) on a meat thermometer.
Once cooked to your desired doneness, remove the steaks from the skillet and let them rest for 5 minutes to allow the juices to redistribute.
Serve the filet mignon steaks hot, garnished with additional herbs if desired.