In recent weeks, Google has announced that five Gemini Extensions are beginning to roll out. Only Google Home has seen wide availability (via its Preview Program), with most users still waiting for WhatsApp, Phone, Messages, and Utilities.
We're not yet seeing Spotify in the Extensions list on Android, which is the only platform it will be available on. In terms of set-up:
To connect to Spotify, your Spotify account must be linked to your Google Account.
The Gemini app will use "the last music service you used" if you have "connected more than one music service and don't specify one in your request" (like with @Spotify). Example prompts include:
The Spotify Gemini Extension cannot "create a Spotify playlist or radio.