Combine both olive oil and garlic in small saucepan, saute until garlic is aromatic and golden brown.
Add remaining ingredients to pan and let simmer for 20 minutes.
Remove from heat and transfer into food processor. Pulse or blend until well incorporated or until desired consistency.
Place in bowl and let sit at room temperature until cooled. Store in airtight container. Keep refrigerated unless in use.
Pizza Assembly:
Roll pizza dough into desired shape and thickness.
Place dough on preheated grill on one side for 3-5 minutes or until golden brown with lightly chard grill marks, then flip. (If your grill has a wide grate width, it's recommend that you use tin foil to prevent dough from falling though.)
Add sauce, cheese, and other toppings to cooked side. Close grill to let everything melt together. Cook for additional 3-5 minutes.
Remove from grill and place on desired serving dish. Enjoy! :)