In due time MoneyGram separated from the Western Union and became an independent brand. The company continues to automate and enhance MoneyGram For the recipient MoneyGram service of wired transfer is free. All expenses will be paid by the sender at the time of sending money. MoneyGram launched a new in-person bill payment service which will be delivered through agents in their domestic network, giving consumers an easy, low-cost method to pay their bills. What are the main benefits of money transfers by MoneyGram? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient.