You are now able to fully customize your profile. To do this, go to 'Settings' or tap on your avatar on the right side of your screen.
You can edit your name, change your avatar and choose alternative frames. Unlock new avatars and frames by unlocking Leagues and competing in Ranked Tournaments.
Aside from customization, you can also view your statistics here, which include your favorite Legends and Champions, as well as your win rates in respective game modes.