Since I am (aside from the 32-bit-Bug) able to play the Game just fine with a slower Intel Core 2 Duo and a ATI 5750 I`d say: yes.
After all your Card was one of the "Top of the Lone" of its TIme while GOG`s recommended ATI Card is a "budget reduced version" and the real Abilities of Cards ahsn`t changed that much in the last few years (aside from the most recent generations, say the last 1.5 years).
However, I cannot guarantee that my assessment is correct.
