Heat a medium saucepan over medium-high heat, add 1 tablespoon of olive oil and chopped garlic, and sauté until the garlic turns golden (approximately one minute).
Add the orzo, along with a pinch of salt and freshly ground black pepper, and stir for about 1 to 3 minutes.
Gradually pour in the water while continuing to stir. Keep stirring until the mixture thickens.
Introduce the heavy cream, then reduce the heat. Allow it to simmer for approximately 10 to 12 minutes, stirring frequently.
Cover the saucepan and let it cook for an additional 3 to 5 minutes, making sure to stir regularly.
Take the orzo off the heat and blend in 2-4 tablespoons of the pesto.
Incorporate the Parmigiano Reggiano thoroughly.
Cut the burrata in half. Each half is sufficient for one serving of orzo.
Position the burrata atop the orzo. Carefully open the burrata and garnish with a pinch of salt, a sprinkle of chili flakes, and a drizzle of olive oil, if desired.