There could be a couple issues that are causing you to not be able to find your website in Google.
Is this your first time publishing?
It can often take search engines weeks and even months to find new websites. The reason is they don't know your website exists. Simple things like submitting your website to them for indexation can help expedite this process.
Watch a 30 minute SEO webinar on search engine optimization.
Hope this helps!
Did this answer help? If so, please mark 'good answer' below for other people to find this post. Also like us on Facebook and Twitter to learn more about how to grow your business.