Not sure, but I think Music.app works with payed radio stations, listed in the iTunes Store. If you want listen you concrete free radio station for free, forgot the Music.app and use the browser instead:
tell application "Safari"
activate
open location "https://www.cbc.ca/listen/live-radio"
my waitSafariWebPageLoading()
do JavaScript "document.getElementsByClassName('playButton hero large no-border')[0].click();" in document 1
end tell
on waitSafariWebPageLoading()
tell application "System Events" to tell application process "Safari"
repeat until (UI element "Reload this page" of group 3 of toolbar 1 of window 1 exists) or (UI element "Reload this page" of group 2 of toolbar 1 of window 1 exists)
delay 0.1
end repeat
end tell
end waitSafariWebPageLoading