Google Docs recognizes some markdown syntax and is now working to increase its support.
Google Docs on the web (mobile apps not included) now supports Headings, Bold and italic typefaces, italic + bold, Strikethrough, and Links, in addition to * or – for bullet points, numbered lists, and  for checkboxes.
Users can now generate rich text documents faster without learning keyboard shortcuts. On the web, under Tools > Preferences, there’s a new automatically detect markdown setting that permits auto correcting/conversions to the syntax.
For the Google Docs web client, this enhanced Markdown feature will begin rolling out today and should be fully operational in the following two weeks (docs.google.com).
Users with personal Google Accounts have access to all Google Workspace customers, as well as traditional G Suite Basic and Business clients.