All:
I wonder how can I make the google search result of my website formated and list category as google itself? Is that called SEO optimization?
Basically what I want my website looks in google search results just like
enter "google", "github", "stackoverflow" in google search, it will show categories and probably a search bar
Thanks
Ofcourse, that comes under SEO. Those are called site links, they are automatically generated by google's algorithm depending on the traffic to various important pages of your site.
Login and contact pages are automatically detected if you have right seo structure. sub domains are also listed automatically if you have any.
in case of stack overflow, it shows up important pages and subomains such as java and python which are again individual communitites, that made google to show them in search result.
more about google site links is here