Google Assistant gets released in the Play Store, but it's just a shortcut of the app
It's just there to let you know if it's compatible or not with your device and possibly to get faster updates. It has become standard for many smartphone companies to release specific apps in the Google Play Store to allow them to update them faster without having to wait for the next Android update.
The description of the app in the Google Play Store notes that Google Assistant offers users another method of launching the personal digital assistant, nothing more, nothing less.
The Google Assistant app provides another way to launch the Assistant that’s already available on your phone. It allows you to quickly access your Google Assistant with one tap. You can still access your Assistant by pressing and holding down your home button or by simply saying, 'Ok Google.'
Not especially useful for those who already have Google Assistant installed on their smartphones, but at least you're offered another option to trigger the digital assistant if that's what you've been looking for.
source: Google Play Store via AndroidPolice
Things that are NOT allowed: