transfer audiobook from one pc to another, same itunes account

I purchased an audio book on my work PC using itunes. I logged in using my apple ID and purchased the book. There is no other media on my work PC. I just couldnt wait to purchase the book. So, I'd like to be able to take the book home with me and put it into my home library.

A: Since iCloud is active, Will the book just shwow up as something that I've already purchased and will I have the ability to just download it on my home MAC? Or, do have to physically copy it from the media library into my home library?

Please advise.

Carlos