The Bees join Barnet, Cheltenham Town, Colchester United, Leyton Orient, Plymouth Argyle, Torquay United and Wycombe Wanderers, who also receive byes, into Round Two.
The Round One Draw will be made on Saturday August 18 live on Soccer AM between 10.00-10:30am.
The competition playing dates for this season plus the draw dates are as follows:
Round 1 w/c September 3 2012 (Draw date Saturday, August 18 2012)
Round 2 w/c October 8 2012 (Draw date Saturday, September 8 2012)
North/South Quarter Final w/c December 3 2012 (Draw date Saturday, October 13 2012)
North/South Semi Final w/c January 7 2013 (Draw date Saturday, December 8 2012)
North/South Final First Leg w/c February 4 2013 (Draw following north and south semi finals)
North/South Final Second Leg w/c February 18 2013
Final at Wembley Stadium Sunday, April 7 2013