First, log in to your Google Mail account.
Click on the gear near the top right and click on the Settings link:
Then click on the accounts Tab.
Find your UGA email account in the list that shows up, and click "edit info" to its right.
A yellow window should pop up. If you like the name that's listed, click the Next Step button.
Make sure the settings look like the following picture, substituting your MyID@uga.edu for the username.
After checking out those settings, click "Edit your password".
Type your password in the field that shows up. Then, click the Save Changes button.