How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. Very intensive and focused approach has helped MoneyGram to grow business at a rapid pace and establish MoneyGram as a global player in the marketplace. For the recipient MoneyGram service of wired transfer is free. All expenses will be paid by the sender at the time of sending money. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min).