Well, It's quite easy.

Open your local project.

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Add a README.md file (If you don't have anything to add yet)

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Click on Publish on Github

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Choose as you wish

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Choose the files you want to include in firt commit.
Note: If you don't select a file or folder it will added to .gitignore file

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You are good to go. it is published.

P.S. If this was you first time. A prompt will ask for for your Github Credentials fill those and you are good to go. It is published.