Remove porterhouse from the refrigerator and transfer to a clean plate or cutting board. Salt both sides generously and allow them to sit at room temperature for 45 minutes
Preheat the grill to high heat
Brush both sides of the steaks with olive oil. Then, season with salt and pepper to taste
Add the steaks to the grill on its hottest part. Sear for 4-5 minutes until a golden-brown crust forms. Then, flip to the other side with tongs, searing for 4-5 minutes
Check that the internal temperature is between 120-125 degrees for medium-rare (about 130 for medium). If not, move steaks to a low-heat area of the grill; cover, and cook for 1-3 more minutes
Transfer steaks to a clean cutting board. Tent with foil and allow to rest for 5-10 minutes before serving