Google Search Console is one type of the free Google offering service that helps you monitor, maintain, and troubleshoot your site’s presence in Google search results. It is also a collection of tools and resources to help website owners, webmasters, web marketers and SEO professionals.

How to Monitor your site’s performance in Google Search results:

First of all, Make sure that Google can access your content

after that,
Submit new content for crawling and remove content you don’t want shown in search results

then,
Create and monitor content that delivers visually engaging search results

finally,
Maintain your site with minimal disruption to search performance

and,
Monitor and resolve malware or spam issues so your site stays clean.