Hey @MMorafah, welcome to GitHub Community
To address your question, I did a quick google search on my end, and below are my findings:

First of all, your GitHub profile and GitHub personal website have already been indexed on Google Search, and is searchable by other users already.
Second of all, it takes time for Google Search engine's web crawlers to crawl through websites & index them in the search engine. This process takes time, and as quoted from this documentation by Google, "it can take anywhere from a few days to weeks". Just to let you know, there isn't much the community members here can do to help expedite the process of indexing your website on Google. Just informing you in case you intend to publish new websites, you'll just have to wait patiently for your website to be indexed.
Hope this clarifies & answers your question .
Thank you, and have a good day ahead !
You have to create a Google Search Console account and add your page, then typically you just drop a "marker" file in the root (Search Console generates this) so that Google can confirm you really own the page.
Google Search Console
Instructions
(Since the instructions are long and have many links to sub-steps, I'm only providing the link.)
Also, if you're going to use a registered domain name, set that up before you register the site for search.
(Edit: Technically you don't have to do this, sooner or later Google will find you... but this will give your content a much higher-quality score.)
Generally, google finds all website and index them. Sometimes, it's takes time to crawl the new website.
But, you can do this thing manually by following these steps:
- Go to Google Search Console
- Add the website as your property
- Then, verify your property that you're the owner of this.
Can't get my github page to show in google search results - Google Search Central Community
seo - Making personal github pages google searcheable - Webmasters Stack Exchange
My GitHub Pages site doesn't appear in google search index - Webmasters Stack Exchange
GitHub pages site not appearing in any search engine
Hi everyone,
I created a very simple Github pages site using the instructions in the documentation. The repository for the site is very simple -- it basically just consists of an index.html file. However, the website is not appearing in any search engines even though it was published more than three months ago.
Any ideas why the website is not being indexed by Google?
Apologies if this is an entirely trivial question - I really appreciate any help!