Prepare the Grill: Begin by preheating your grill to medium heat, around 350°F (175°C). Clean the grates with a grill brush for optimal non-stick properties.

Roll Out the Dough: On a lightly floured surface, roll your pizza dough out to about ¼ inch thick, shaping it to fit your grill.

Oil the Dough: Brush one side of the rolled-out pizza dough generously with olive oil.

Grill One Side: Carefully place the oiled side of the dough down onto the preheated grill and cook for about 3 to 5 minutes.

Flip the Dough: Using a spatula, gently lift one edge of the grilled dough and flip it over.

Add Cheese and Honey: Spread creamy goat cheese evenly over the newly grilled side, sprinkle mozzarella on top, drizzle honey, then add rosemary, salt, and pepper.

Close the Grill: Lower the grill lid to trap the heat and allow the cheese to melt for an additional 5 to 10 minutes.

Check for Doneness: After 5 to 10 minutes, check your pizza; it should look bubbly and slightly browned.

Remove and Rest: Carefully remove the pizza from the grill and let it rest for a couple of minutes.

Garnish and Serve: Scatter fresh arugula or basil on top, slice into wedges, and serve warm.