@BL
I just checked and your site is up and running just fine. Give it a try here: http://www.gonzalesplumbing.com/
It can take days to weeks for Google to crawl your site. This is perfectly normal and all website owners go through this. Not just Weebly. If you join Google's Webmaster Tools, you can request a site crawl. This can in some cases speed up the process. It isn't guaranteed, but worth doing. Google also offers a number of tools to help improve your site's SEO and it is free.
The following article on our help site shows the exact steps you should take in order to get verified with Google Webmaster tools.
https://hc.weebly.com/hc/en-us/articles/201723433-Verify-Site-with-Search-Engines
Once you get the verification completed, visit this site to learn how to request the crawl.
http://support.google.com/webmasters/bin/answer.py?hl=en&answer=1352276
You can also be verified by Bing if you'd like to take those extra steps here (we recommend it):
http://www.bing.com/toolbox/webmaster
The verification process is basically the same for Bing. Copy the meta tag they provide you and paste it underneath the Google Webmaster Tools code. Separate them by a few lines so they don't overlap. You can learn a lot more about how to use Bing's tools here: https://www.bing.com/webmaster/help
