Gawdy was the son of Sir Bassingbourne Gawdy of West Harling, Norfolk and his wife Anne Framlingham, daughter of Sir Charles Framlingham of Crow's Hall, Debenham, Suffolk. He was High Sheriff of Norfolk in 1627.
In April 1640, Gawdy was elected Member of Parliament for Thetford in the Short Parliament. He was re-elected in November 1640 as MP for Thetford in the Long Parliament and held the seat until 1648 when he was excluded under Pride's Purge.
Gawdy died at the age of 65. Gawdy had married Lettice Knollys, daughter of Sir Robert Knollys and Catherine Vaughan, and had eight children. His son William Gawdy was also MP for Thetford and was created a baronet and his grandson John Gawdy, who was deaf and dumb was a celebrated painter.
- John Burke, John Bernard Burke A genealogical and heraldic history of the extinct and dormant baronetcies
- Willis, Browne (1750). Notitia Parliamentaria, Part II: A Series or Lists of the Representatives in the several Parliaments held from the Reformation 1541, to the Restoration 1660 .... London. pp. 229–239.
|Parliament of England|
Parliament suspended since 1629
|Member of Parliament for Thetford
With: Sir Thomas Wodehouse, 2nd Baronet
Sir Thomas Wodehouse, 2nd Baronet