Pretty simple way to add or listed your website in Google search engine, Register yourself on Google Webmaster tool and go ahead. Another way to submit your site URL directly from Google search console.
If your website have no restriction for search bots then it will be crawled your website itself within 7 days.
Google webmaster is pretty much easy and authentic way to submit entire site at once via sitemap submission. Google console is quick response and direct way to submit URL manually. Thank for that
And you have also use in google webmaster tools fetch as google this tools is very effective for fast indexing our website pages in google.
@deaninfotech Google fetch as tool basically purpose to check it out that this particular page is accessible for Google robots or not. You can use Google Submit URL tools from your webmaster account to crawl your web pages immediately.
Add the Website.