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Step 1
Season steak generously with salt and black pepper on both sides.
Step 2
Place wood chips in the smoker box of your gas grill according to manufacturer's instructions.
Step 3
Preheat one side of the grill to about 250 degrees F (121 degrees C).
Step 4
Place steak on the cool side of the grill. Cook until an instant-read thermometer inserted into the center reads about 100 degrees F (37 degrees C), 25 to 30 minutes. Transfer steak to a plate. Brush with olive oil and cover with aluminum foil.
Step 5
Increase heat on the grill to 600 degrees F (315 degrees C) by turning both burners up to maximum.
Step 6
Cook steak until crust forms and an instant-read thermometer inserted into the center reads 125 degrees F (52 degrees C), about 3 minutes per side. Transfer steak back to plate. Cover with aluminum foil and let rest before serving, about 5 minutes.