Matty P --
It isn't as simple as that. There's something like a dozen or so species in the BBG genus, Brachygobius. Telling them apart is, for the most part, impossible for the aquarist because of "species groups" containing several very similar-looking species. Scientists identify them by looking at dead specimens under a microscope, and need to count things like the arrangement of scales on the body. There's absolutely no way on Earth you can do this with a live specimen in a fish tank!
Anyway, the bumblebee gobies usually seen in aquarium shops belong to a complex of closely related species including Brachygobius doriae, B. xanthomelas, and B. sabanus. This Brachygobius doriae-group, as this species group is known, includes species that get to about 1.5 inches in length, which contrasts with the "dwarf" bumblebee goby group.
The dwarf BBG species group, including Brachygobius nunus and Brachygobius mekongensis, are less than half the size of the Brachygobius doriae species group. All this sounds simple enough, but the name Brachygobius nunus has quite commonly been applied to members of the Brachygobius doriae species group. Although the dwarf species aren't commonly traded, they do turn up periodically, but are never identified as such.
Another name that gets misused is Brachygobius xanthozona. This species is in fact extremely rare in the wild and is never, ever traded as an aquarium fish. All photographs of BBGs in aquarium books identified as Brachygobius xanthozona do so in error.
Does any of this matter? All BBGs will do extremely well in low-end brackish water (around SG 1.003-1.005). But many species are also found in freshwater, and all can be kept in freshwater aquaria without problems. Some species are also found in blackwater streams, with an acidic pH and virtually no hardness, where they are found alongside things like rasboras.
In short, BBGs are adaptable. In aquaria, keeping them in brackish water is possibly the ideal simply because the salt helps detoxify nitrite and nitrate. According to Schaefer (in Aqualog) the key advantage is you can fill a brackish water aquarium with live brine shrimp and let the BBGs feed on them all day long. The real problem with BBGs is food. Most specimens die because they starve to death, not because of water chemistry issues. These gobies are very difficult to feed, and when kept in freshwater communities simply don't get enough to eat.
Cheers, Neale