Starting from 30th of June 2016, You may not be able to use your Google's physical card [Google Wallet], This information comes from an app teardown performed byAndroid Police. While, The good news is - you'll not have to worry about transferring your money out.
Notes about how "your Wallet Card will stop working soon" can be found in the Google Wallet app. Not yet visible, as it were, but the code is in there to be sure. The app includes note that users will be able to keep paying for items until the 30th of June, 2016, but that adding money to the card will only work until May the 1st, 2016.
If you're currently using a Google Wallet card, you can transfer your money out right this minute. You can also choose to keep your cash in until the 30th of June. At that time, your money will be transferred out to your standard Wallet balance - no big deal.
The standard Google Wallet app - and your Google Wallet money therein - does not appear to be getting any bumps or prods in the near future.
If you do not have a physical Google Wallet card, you have nothing to worry about. If you ONLY have a Google Wallet card and no other credit cards or debit cards, you might want to look in to getting something new, relatively soon.