If you started your Covve account by enabling syncing with your contacts, Covve will automatically sync 2-way with your phone address book, so once you signup with the syncing option, you should see in Covve the same contacts you have on your phone.

Please note that there is no way to import additional contacts directly into Covve, but you can import in any contacts account that is syncing with your phone (e.g. Google Contacts, Exchange, iCloud, etc.) and they will also appear in Covve. See here for help on how to import contacts in your Contacts account

If you started with an empty address book, you can add new contacts by scanning their business card, or manually.