How close was this movie to actual history?

In real life, Huo's first fight was against a Russian who called the Chinese "weak men of the east" for refusing to accept his challange. Huo easily defeated him, and it was discovered that the Russian was not a professional fighter, but was simply for show. Huo made him apologise, which he did. Later he managed to defeat an entire Judo team. He died not actually die in competition, as portrayed, and Huo's great grandson sued the producers for it's supposed inaccuracies, in which it implied Huo only has one child, but in real life he didn't

if you go to wikipedia and type him in, you will find alot of the info you're looking for. like when the russian strongman called the chinese weak men of the east for not accepting any of his challanges, once huo accepted the challange, the russian forfeited, claiming to be all for show, so he never actually fought the russian...also in the movie it shows that yuanjia's father died before he reached the peak of his fame, where his actual father outlived him by 7 years

Did Bruce Lee play the same character in Fist of Fury, because it was set in the same period and he fought a Russian and Japanese businessmen/gangsters in Shanghai?

None of it. It's all just mythical nonsense.