AgentConnect allows MoneyGram agents to integrate the money transfer service with their internal security and training processes. In due time MoneyGram separated from the Western Union and became an independent brand. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.