https://www.google.com/webmasters/tools/submit-url

Submit your website in above form to index in google.

Many businesses have already added blogs to their websites for faster indexing and for more exposure from search engines and social media.

Make sure you have not add the duplicate content in the website.

Generate sitemap and update in webmaster tool.

When you update website then just wait for the crawler to come and index your website or just ping your website with pinglar or do sitemap submission.