To access your cards, login to your account and tap My Events at the bottom of the screen. Upcoming events will be featured at the top of your My Events section; you can scroll to the right to see these cards.
You can scroll down to see your other folders. You can click on Drafts, Sent, or Received to open up each folder and view your cards.
To access all of your cards, tap the account menu at the top left of the screen, then tap My Events. You'll then be able to tap between your upcoming events, sent and received cards, and online drafts.