For a long time now, Google's Search app has had a new, more rounded launcher icon and a simple label in your app drawer: Google. The app's Play Store listing, however, has stubbornly clung to the name "Google Search," while retaining the old boxy icon of yore. Without a word, it looks like Google has cleaned up its Play Store listing at long last with the refreshed icon and simplified name. The change makes sense, given the previous mismatch between the Play Store and on-device icons and names. Google's app also encompasses an increasing number of features besides search, including a launcher and Google Now's predictive prowess.
For those wondering, Google's signature app is also listed as Google in the App Store for iOS now. It's not a huge change, but certainly one that's overdue.
Thanks, Marcu Ioan.