Once your new domain is registered and website is built you will not see it listed in Search Engines instantly. This can take some weeks for Search Engines to “crawl” or “spider” your website.
However, there are some things that you can do to speed things up. Submit your website to Google here.
Add your website address to any Forum signatures you may have. Promote your new website with Facebook, Twitter etc. Add your website to as many free business directories as possible. In other words try to get listed or added to as many “other” website out there, especially busy high traffic websites.