Just to the point, based on personal experience, important steps to speed up a website indexed on Google:


1. Immediately register your site on Google Search Console.

2. Next, create and submit a sitemap to Google Search Console.

3. Pay attention to increasing the speed of your website.

4. Take care to always create quality and relevant content.

5. Also provide quality backlinks.

6. Promote your content on various social media.

7. Optimize  your page meta tags.

8. Update content regularly, always update.


Oh yes, also one thing to remember is that indexation by Google takes time, and there is no guarantee that your site will be indexed immediately after following the steps from my experience alone.