Go to Dashboard → Manage Events, tap Add Event and pick Eventbrite. Artists: go to Dates, tap Add Date and pick Eventbrite. Tap Connect and sign in on Eventbrite's own page.
Once connected, your Eventbrite events come up. Choose the ones you want and tap Import. Venue details fill in for you. Come back anytime, or tap Sync now in Settings → Connections, to pull in new events.