Your question is quite unclear, that’s probably why you are getting inconsistent answers.
If you want Google not to follow you (or any search website), you could use, as recommend by WPMU-DEV Ari, “Search Engine Visibility” which can be found in the Settings -> Reading menu. However remember, search engines are not forced to listen and/or obey your request.
From the comments I am getting that you believe www.site.com and www.site.com/home are both indexes and displayed on search engines? And your trying to avoid this?
This is not completely true; if you pick a page as your static home page it will not be shown as a duplicate on Google. There are two reasons for this;
- WordPress will automatically take care of this ‘duplicate’ issue for you.
- If two duplicates would exist Google will filter it out for you (due to the automatic redirect, and duplicate content).
Also if it would occur, users will actually never realize it due to the redirect. (Just try going to www.site.com/home and you will see it will automatically redirect you to www.site.com.)
If this is not what your looking for, you could also create your own static page by creating a custom page template and setting this as your static page. Or create a custom page and redirect your domain to this page, instead of WordPress’s Index.
In regards to the question: “how Google found this post?”. I am not finding any nofollow or noindex on your website. And there are quite a bit of links available on the page and your site.
A more general info-video on how Google works can be found here.
Hope this answers your question, if not please rephrase and elaborate a bit more on what your actually looking for.