From a Home screen, swipe up from the center of the display to access the apps screen.
These instructions only apply to Standard mode and the default Home screen layout.
Navigate: Settings > Accounts and backup > Accounts.
Tap Add account.
If presented, use the current security unlock method (PIN, password, fingerprint, etc.).
Enter the Gmail address then tap Next (lower-right).
Enter the Password then tap Next.
If preferred, tap Back up to Google Drive to turn on or off then tap Accept.