Money will be taken directly from the sender's debit card or checking account, and the recipient can deposit it in their checking account. The only features going away are the physical Wallet card and the ability to add to your Wallet balance.
According to /u/GraemeStanding, who appears to work on Android Pay (which is basically the old NFC payment portion of Google Wallet, split off and rebranded): https://www.reddit.com/r/Android/comments/4crogp/just_got_an...