When you register a domain name, that doesn't automatically mean you will show up in the search results of Google or any other search engine. The best thing you can do to show up in search engine results is to have other websites link to your website (linkbuilding). As an alternative, you can also submit your websites to several search engines.
This is called Search Engine Marketing (SEM), which is divided into Search Engine Optimization (SEO) and Search Engine Advertising (SEA). Hostbasket offers several products in this area.