There’s several things you’ll need to do if you want to get your website on Google and keep it there.
#1. Make Your Site Search Engine Friendly. The first thing you should do is make sure your website is complete, all information is up to date, and that all your meta tags and keywords are on the right pages. For example, don’t tag your welcome page with “screening” you only want something like that on your screening page. If you have any Social Media Accounts, now is the perfect time to link them to your site.
#2. Keep Your Website Current. You need to keep your site current and update it at least once a month. It’s easy to update, add a new picture, write a blog entry, Add some new news to your site, anything helps.
#3. Get Google to Index Your Website. This is a bit long… but wikihow has a very good detailed article explaining the whole thing, visit the article here: http://www.wikihow.com/Get-Your-Website-Indexed-by-Google