If you want your site content to be shown in Google Search results, it should be included in the Google Index.
When your site is published, it takes some time for Google to index it.
To check if your site has been indexed by search engines, enter the URL of your domain with "site:", i.e. "site:mywebsite.com".
You can submit your 8b site to the Google Index manually. It can speed up the process, but it still takes some time for Google to index it.
You should have a Google account for it.
After your site is submitted, you can find the Check Index link in the Site Settings window. Click on it to learn if your site is present in the Google Index.