To send an email to a Group, tap Compose and start typing the group's name in the To field. Type the start of the name, for example Book for a group called Book Club. Pick the group from the suggestions, which show its members under its name. Write your email and send it, and it reaches every member of the Group.
You can also start from the group itself. On the Contacts tab, tap the email button on the group's row (the square with a pencil), and BlueMail opens a new email already addressed to the group. Group Info has a Send Email button too.
Don't have a group yet? See Creating and Removing a Group.