No Spotify give you access yo all songs the only thing is you can’t select a certain song you can make a playlist of the songs you want to listen instead of the whole album and the shuffle the songs and listen to the ones you like. But main idea is that’s no Spotify doesn’t limit the music access
Free accounts can access all of Spotify's songs & podcasts, but they limit you to shuffling songs (on iOS and Android). However, Spotify Premium allows you to choose songs and remove ads. Hope this helps!