What will we learn if a Higgs boson is found?

We examine what can be deduced from the discovery of a Higgs boson, with a mass of the order of that suggested by CERN LEP evidence or somewhat larger. Surprisingly, in the most general situation, no implications can be deduced. Assuming naturalness, the relatively large mass suggests that one or more of larger $\tan \beta ,$ large phase, extra singlets, or a larger gauge group are present. We discuss implications for the supersymmetry spectrum, in particular gluinos and top squarks. A lighter gluino produceable at the Fermilab Tevatron remains a likely possibility, in disagreement with a recent claim.