Combine flour, salt, black pepper, and smoked paprika in a large mixing bowl, whisking until evenly distributed. Slowly add warm water while stirring with a wooden spoon until a shaggy dough forms that holds together naturally.
Knead the dough for 3-4 minutes until smooth and slightly elastic, incorporating all dry bits from the bowl bottom. Divide into four equal portions and shape each into a round ball that fits comfortably in your palm.
Let dough balls rest for 5 minutes while you prepare your toppings—mince garlic, dice peppers and onions, and measure out cheese and herbs. Heat your cast iron grill pan over medium-high heat for 3-4 minutes until it's properly preheated and ready for smoky grill pan flatbread recipe perfection.
Flatten one dough ball into a thin oval approximately 1/4-inch thick, then brush lightly with olive oil on both sides. Place it directly on the smoking hot cast iron for 2-3 minutes until golden char marks appear on the bottom surface.
Flip the flatbread and immediately add toppings—mozzarella, bell peppers, red onion, sun-dried tomatoes, and fresh rosemary across the surface. Drizzle with balsamic vinegar and sprinkle minced garlic plus red pepper flakes for depth and complexity.
Cook the topped flatbread for another 2-3 minutes until the cheese melts completely and the bottom develops deep caramelization. The kitchen will smell absolutely incredible as the aromatics release throughout your cooking space.
Transfer to a cutting board and let rest for 2 minutes before serving to allow toppings to set properly. Repeat the entire process with remaining dough balls, enjoying the grill pan flatbread that emerges with perfectly charred, smoky character.