No, you WILL have to add the Kindle APP to your TF. It is free and you can get it at the Android app store. Once you register it by logging in with your Kindle account it will automatically have access to any book you bought with that account. You will need to simply download it by clicking on it and then it is available offline just like on a Kindle.
Most ALL books from Amazon are encrypted and need to be DEcrypted per device with it's own native app. SOME book are not encrypted and can be converted to another format by using apps like Calbre (Google it up), however MOST - even free public domain - books are encrypted and need this process.