Material is the name of the game at the moment, with apps left, right, and centre adopting the new(ish) design standards and animations. While the Wallet Android app has been material for a while now, the web app has just been updated to adopt the desktop version of material design.
Generally speaking, the new web interface looks much like the Android app. There is a part to send or request money, a navigation drawer with options in it, including choosing what card to pay with and settings. There are a few things on one platform that are not on the other - Activity on the Android app and 'Cash Out' on the web app - but mostly they look the same on either, which is the aim of material design.
Left: the navigation drawer. Middle: the send money screen. Right: settings.
The new Google Wallet web UI is available right now, so go check it out if you're inclined to send money over the air. The Android app is available on Google Play, but sadly is only downloadable for users in the United States - however, we have it on APK Mirror for others who would like to try it out.