He lies buried in Ashenvale, in the area now known as Demon Fall Canyon, which is near the site where he and Thrall destroyed Mannoroth.
The two orcs won, but at a terrible price Grom's life. They would eventually fight against the demonic entity that bound the orcish race to slavery: Mannoroth. Grom, a powerful blademaster, was the best friend and adviser of Thrall, so much so that Thrall considered him a brother. 'Grommash' means 'The Giant's Heart' in orcish.