how can i add my blog to google search engine?

Google should find your blog naturally through links on the internet that point to your website. To speed this process up you can submit your website to Google's search console. This is a tool where you can tell Google all about your blog and they will be able to crawl all the information they need to start displaying it in the search results. Remember though, just because you have submitted your website, doesn't mean it will be the first result on the website. optimising for search engines takes a lot more than just submitting the website to Google.