When you license lyrics, you don't necessarily get the actual written words to use (the lyrics).
You simply get permission to use the lyrics.
Genius volunteers listen to music and write down their interpretation (punctuation, spelling, spacing etc.)
Genius has a TOS to prevent republication of their content.
Genius started the lawsuit because they claim Google violates this TOS by duplicating Genius's unique transcriptions.
Google specifically claims they are NOT scraping Genius, but Genius claims they have proven that they do with watermarks.
Genius is taking them to court.