How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. How to obtain the money? You go to any branch or affiliate partner of MoneyGram, show your identity document, fill in the letterhead, which specify a the transfer code and get the money. The benefits of money transfers by MoneyGram: simplicity in making up. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.