@fify-- That's right. "Queso" means "cheese" in Spanish. Manchego cheese is called "manchego queso" or "quesos manchego." And if you want to say cured manchego, you can say "manchego curado."
Traditionally, manchego is eaten with bread and olives, along with a glass of red wine. But really there are no rules when it comes to how you want to have it. I don't think it's a bad idea to use it for pizzas and quesadillas. You can also use it in appetizers, to stuff meats and on top of salads or vegetables too.
It can even accompany something sweet, like quince jam for example, which is quite popular in both Spain and South America.