Radio homepages
Most radio stations are listed with a homepage URL. Use the house symbol in the toolbar or right click ▸ homepage to open it in a web browser.
Some homepage links are guessed, because for example Shoutcast doesn't list them anymore. And if you play a station without homepage URL, it automatically gets googled (but will not be displayed until you reselect the category.)
Channel service
You can also open channel homepages. Either from the Channel menu, or via double clicking the channel tab.