"What" is correct. We use "what" a bit broader than "que" and restrict "how" (como) to a question about the way something is done. What is your favorite book? What book do you want? How do you write a book? How fast can you read a book?

Hello! I believe "What is your country like?" is the correct form in this case Cheers

The correct answer is "What is your country like?" You can also ask, "How is your country like?"