It is not possible to listen to music via Pandora on Apple's Vision Pro device.
- The Pandora app is not available in the App Store for the Vision Pro.
- The Pandora website does not provide the option to listen to music when accessed from the web browser on the Vision Pro. (I suspect that is because the Vision Pro functions similarly to an iOS device.)
I would be happy with either a native app for Vision Pro or being able to listen via the web browser.
According to Apple's developer documentation[1], all iOS/iPad applications were automatically available via the Vision Pro App Store, unless the developer intervened. This suggests that Pandora chose to prevent the iOS/iPad app from being available on this new device.
[1]: https://developer.apple.com/news/?id=ssmnoze2