Here are two URLs that allow you to add your new site to Google to make sure that your site is crawled periodically and that Google knows about your site. It’s free and very simple to add your site to Google, just enter your URL and submit basically!

Add Your URL To Google

www.google.com/addurl/
Improve your site’s visibility in Google search results by adding your site to Google.

Overview – Submitting your content to Google

www.google.com/submit_content.html
Overview for Website Owners who are interested in submitting sites and content to Google – great place to start.