Covve automatically syncs 2-way with your phone address book, so once you signup, 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.
Are you finding that some of your contacts are not syncing with Covve?