Yes, but then he un-conceded. How do you think it got to the Supreme Court unless he fought?

He brought it to the Florida circuit court, and when he lost he appealed to the Florida Supreme Court, who ruled in his favor. Then Bush appealed to the US Supreme Court.

The problem was a coordinated effort to steal the election by the bitch queen Katherine Harris, Florida Secretary of State and Bush's Florida campaign co-chair, a fake riot by Republican operatives to disrupt a recount, and a collaborating Supreme Court. It was all tied up nicely in a bow and there wasn't much Gore could have done, although he should have requested a statewide recount right from the start instead of just cherry picking solidly Democratic-leaning counties like Miami-Dade.