Migration urls

Hi, complete novice here with computers.  I would like to change my website over from Godaddy to Squarespace and want to get some clarification regarding NOT getting errors on google when someone clicks on my own website pages.  So how do I avoid this, how do I get when someone clicks on my own google listings to be directed to squarespace.  Please if you reply define the language you are using, as I am totally uneducated when it comes to computers and the net.