no, internet radio is free. For example BBC Radio 1 has their normal radio and the same material is used for what is called ‘second usage’ (‘Zweitnutzung’ in german) to be streamed over the internet. There are some restrictions to what can be streamed (no super recent sports results and stuff), but 90% of the normal radio content is on the internet radio as well. All songs certainly.
I was trucking to Glasgow yesterday and suddenly they put on Forever Young by Alphaville at BBC1! Supercool!
Music like this suddenly in your game! from 1:15min