No, Cyberpunk 2077 is not free. It is an upcoming Role-Playing game developed by CD Projekt Red and it will be released on April 16, 2021 for Microsoft Windows, PlayStation 4, Stadia, and Xbox One. It will also be playable on PlayStation 5 and Xbox Series X/S via backward compatibility.
The game will be available for purchase digitally and physically in different versions with prices ranging from $60 to $250 depending upon the version you choose. You can check the version details and pre-order prices here:https://store.steampowered.com/app/1091500/Cyberpunk_2077/
CD Projekt Red is offering a discount on pre-order purchases in the form of in-game perks like items, digital art books, clothing, miniposters etc. There are also certain retail versions like the Collector's Edition with additional perks like collector's boxes and figurines etc.
If you are looking for a good deal, you can check out the various offers available at different retailers like Best Buy, Walmart, Microsoft Store etc. You may also want to check out subscription services like Xbox Game Pass which could get you the game along with other membership benefits.
All in all, Cyberpunk 2077 will not be free but players have different purchase options available, depending upon their budget and priority for in-game perks and additional bonuses.