Once you’ve installed Chrome on your Fire tablet, head over to the Google Play Store and install other Google apps that you would find enabled by default on mainstream Android machines. A good place to start would be to install the Gboard keyboard. It is loaded with useful features, offers the most accurate glide typing experience, text prediction is amazingly reliable, and language support is vast, as well.
Of course, it won’t truly be a true Google experience if you can’t extract the perks of Google Assistant. In hindsight, Alexa is pretty boring and feature-devoid, so you have an added incentive to download Google Assistant. To do so, first install the Google app from the Play Store and use it once. If possible, set up voice recognition when prompted.
Once the Google app is set up, install the standalone Google Assistant app from the Play Store and set it up with all the shortcuts you desire. If you desperately want the real Android experience, you can install a third-party launcher such as Microsoft Launcher, Niagara, and Nova, among others. But that entails a pretty complex process on its own.