01 - Preheat grill to medium-high heat, approximately 400°F. Ensure grates are clean and lightly oiled to prevent sticking.
02 - Brush chicken breast with 1 tablespoon olive oil. Season evenly with salt, black pepper, and smoked paprika. Place on grill and cook for 6 to 7 minutes per side until internal temperature reaches 165°F. Transfer to cutting board and let rest for 5 minutes, then slice into thin strips.
03 - On a lightly floured surface, roll pizza dough into a 12-inch circle. Brush one side lightly with olive oil.
04 - Place dough oil-side down directly onto grill grates. Grill for 2 to 3 minutes until grill marks appear and dough is set. Brush top side with olive oil, carefully flip, and grill for 1 to 2 minutes longer. Remove crust from grill and place on a clean surface.
05 - Keep grilled side facing up. Spread BBQ sauce evenly over crust, leaving a 1/2-inch border. Layer mozzarella and smoked gouda, then arrange sliced chicken and red onion on top.
06 - Return assembled pizza to grill. Close lid and cook for 5 to 7 minutes until cheese is fully melted and bubbly. Monitor closely to prevent burning.
07 - Transfer pizza to cutting board. Drizzle with additional BBQ sauce and sprinkle chopped cilantro evenly across top. Slice into 8 wedges and serve immediately.