You can simply go to Webmastertools, add and verify the property(your domain) and do fetch as google and request quick indexing and caching of your website.
as @Siservices mentioned in Google webmaster tools you can do it, so you will be sure that all is okay.
LInking with Google webmaster tool to your website is an easy and secure task. First login with your email which you already used to to sign-up for Google analytics, create a sign-up on the Google Webmaster >> add your website URL in the address bar provided by the Google webmaster tool control panel and get your verification code to put it in your webpages head section. Then click the verify button in the Google webmaster tool so you can view the logged data on Google Search Consoule.