Yes, and that is most definitely a Mac Plus, so Gene didn't donate his Mac!
I always thought that scene was funny, that he has such facility and dexterity on a 300 year old computer to quickly type up some complicated specs, particularly on a 1986 Mac Plus which we all know how slow they are (this one must have had some serious upgrades), especially when he's likely never used a keyboard. Would anyone even know how to type on a QWERTY keyboard in the 23rd century? I seriously hope not.