Translation:What is the process for making cheese?
That's true! More like "How do you make cheese" is the correct answer.
Well, it is pretty common in daily conversations (Brazil). Although it sounds awkward when compared to other languages, it is totally fine.
You could use "Qual" or "Como" in this case, but it would be slightly different.
Q: "Qual é o processo para fazer queijo?" A: "Maturação" (Maturation)
"Qual" works like a pronoun in this case, so consider you are asking which process is used here.
Q: "Como é o processo para fazer queijo?" A: You take some milk, and you'll need a climatized room, ..." It is a question more "descriptive".