P-QB4 is an older type of chess notation. It is called descriptive notation and it's not used anymore.
P-QB4 means pawn to queen's bishop 4, in algebraic notation (which is used today) you would simply write c4. 
I am not sure about Q-Q, it doesn't sound right to me, but someone else might be able to help.
https://en.wikipedia.org/wiki/Descriptive_notation
What do these terms mean in chess?
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Nov 6, 2021
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https://en.wikipedia.org/wiki/Chess_notation
https://en.wikipedia.org/wiki/Algebraic_notation_(chess)
https://en.wikipedia.org/wiki/Descriptive_notation
https://www.chessable.com/blog/chess-notation-for-beginners/
https://en.wikipedia.org/wiki/Glossary_of_chess
P.S. It's O-O (castle Kingside) or O-O-O (castle Queenside), not Q-Q etc.
browse...good stuff...
https://www.chess.com/blog/RussBell
I'm reading more about chess and trying to figure out the movements and notations.
The problem I'm having is not knowing not all chess notations are the same.
What does Q-Q mean?
Or P-QB4?
A lot of this is over whelming to me and I know how to read basic notations.
I'm learning about the equilibrium of positions and their disturbances but I'm lost as I've ever been in chess. I used to think that just reading about chess would eventually help me pick it up but I'm starting to think I need more than that.
Please feel free to Give me any different terms that I might not know or positions. Thank you.