Remove the rib steak from the fridge. Pat it fully dry with paper towels and season both sides generously with the coarse sea salt. Let it sit uncovered at room temperature for 45 minutes.
Light a charcoal chimney and build a two-zone fire: bank the coals on one side of the grill for direct heat, leaving the other side empty for indirect cooking. Wait until the coals glow with a light coating of ash.
Pat the steak dry again and brush both sides with 1 tablespoon of the olive oil. Season with the cracked black pepper.
Place the steak directly over the coals and sear for 3 to 4 minutes per side, pressing gently, until a deep brown crust forms.
Move the steak to the indirect side of the grill, add the smashed garlic and rosemary sprigs to the grate nearby, and close the lid.
Cook for 6 to 8 minutes, turning once, until an instant-read thermometer inserted into the thickest part, away from the bone, reads 125 F / 52 C for medium-rare.
In the last 2 minutes, dip a rosemary sprig in the remaining olive oil and baste the steak once or twice for aroma.
Transfer the steak to a cutting board and tent loosely with foil. Rest for 10 minutes, during which the internal temperature climbs a few more degrees.
Cut the meat away from the bone, then slice against the grain into pieces about 1 cm / 0.4 inch thick.
Arrange the slices on a board or platter, drizzle with the last of the olive oil, scatter with flaky salt, and serve with lemon wedges.