To secure your Gmail and other Google products, Google strongly suggests users implement two-step authentication.
In one hour this went down: First the Google account was hacked -- and that led to subsequent compromise of Twitter and AppleID, via Amazon. That led to a remote wipe of one user's iPhone, iPad and MacBook.
Mat Honan has readily admitted that he daisy chained his accounts, leading to minimal hacker obstacles. What could have prevented all of this is Google's two-step authentication process.
Google's Matt Cutts has debunked the many myths surrounding two-step on his blog. The below video will also help users to avoid the epic fail that follows a comprehensive hack like this one.