First things first, you'll need to enable installation of apps from unknown sources on your Fire Tablet. This might sound a bit sketchy, but trust me, it's a necessary step to get Google Play up and running. Just head to your settings, click on "Security & Privacy", and toggle the switch to allow installs from unknown sources.
Next, you'll need to download the Google Play Store APK from a reputable source. There are a few websites out there that offer the APK, but be careful and make sure you're downloading from a trustworthy site to avoid any malware or viruses.