When you create a site with Swite, it will be automatically index on Google. This needs time, usually one or two days, so don't worry if you can't find your site immediately.
If you want to check if is index or not, just search on Google: site:www.yoursite.com
if you can see it it means that now everybody can search your site from Google. To be on the top of the research of Google needs time and efforts. Start with this hints:
1. Check that the name and description of your site is exactly what your potential customers are looking for on Google, from Site Settings.
2. If you have not yet done share your site and business on all your social networks.
3. Enter your website in the signature of each email.