You shouldn't have to type, just tap. Open the Google Play (probably called "Play Store" on the phone) app and then tap the three lines in the upper left, which should show you a menu. Next tap "My apps & games". It should take you to a list of the apps you have on the phone that need updates. See if there is one there for the keyboard.
You should also check in your phones "Settings" to see if there are any updates for the phone itself.