Does it actually? Looking at pictures and maps, I don't see any crossings between the runway and the road. There's an intersection, but it's not a crossing; it'd only be useful for a plane going onto or off of the runway, not a car passing through.
Kinda: the round-island road goes between the airport terminal and the runway, meaning traffic needs to be stopped whenever planes are taxiing to/from the runway. You can see it here:
https://wikitravel.org/en/Nauru