Growing up surrounded by musicians, learning a musical instrument was almost an inevitability for Grady. Upon taking up the tuba, with support from his brass teaching father, Grady was soon playing with the National Youth Brass Band of Wales, the National Youth Orchestra of Wales and the National Youth Orchestra of Great Britain. 

He is a recent graduate of the Royal College of Music, having completed a Masters in Performance, where he studied under Lee Tsarmaklis and Peter Smith. Whilst at RCM, Grady was a recipient of the Michael Quinn Award, the Parnassus Award and Study Award as well as winner of the 2019 tuba prize. Prior to pursuing a career in music, Grady studied a Bachelors in Biological Sciences at Imperial College London.

From 2019 to 2020, Grady participated in the LPO Foyle Future Firsts professional development scheme. During this time, Grady regularly performed as an extra with the London Philharmonic Orchestra.

In addition to his performing career, Grady is a peripatetic brass teacher for Lambeth Music Service.