Fresh mozzarella cheese is made from cow’s or water buffalo’s milk with a firm but elastic texture.  You can slice and it will hold its shape.  Burrata cheese is mozzarella that’s formed into a thin pouch and then filled with soft, stringy curd and cream called Stracciatella (it’s not the same as the ice cream). Burrata is much softer and creamier than mozzarella with multiple textures and is a semi-solid on the inside.  Check out this article for more information on the difference.