How do i publish an article on google?

Google itself is a search engine and not a location for people to publish content on. If you are trying to write something so that it shows up when people search on Google then you will need to create a website of your own. There are plenty of free places like bloggr and wordpress where you can create your own website to do this. Once you have one, you can publish your article and assuming you have looked after the SEO side of things, your article will show up on Google.