What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. In due time MoneyGram separated from the Western Union and became an independent brand. It is very convenient and quick to transfer money without opening accounts and having no payment cards, precisely due to this wired transfer system MoneyGram has become one of the most common worldwide. The benefits of money transfers by MoneyGram: simplicity in making up.