It is usual to provide a reference more precise than "somewhereon the CERN homepage" when you are asking for a clarification. As it is now we have to guess exactly what was said.
Inherently, all particles in the SM are massless until the theory is spontaneously broken by the Higgs mechanism, which by itself produces masses to the weak gauge bosons based on the vacuum expectation value taken by the Higgs field. Other elementary particle masses can be provided by Yukawa couplings, which have values that are model parameters and thus are not predicted.
Without more information, it is impossible to tell exactly which part of the above that the homepage was referring to.