This feature was added in 1.45, demoed here.
Launch the command palette Ctrl+Shift+P
, run Publish to Github
, and follow the prompt. You will be given the choice between a private and public repository, so be careful that you choose the right one.
It may ask you to login to github. It will then prompt for the repo name (defaults to the name of the folder), and for creating a .gitignore file (defaults to empty .gitignore). Just hit enter if you are fine with the defaults. When you are done it should give you a popup notification in the bottom right with a link to the repo https://github.com/<username>/<reponame>
Minor warning: if your project already has a .gitignore file in it this process will overwrite it