yes your right in that memory B cells respond much faster in a secondary immune response but there are some differences...like they are long lived, circulate in the periphery, hardly divide with no antigen stimulation...also
memory b cells have differentiated from b cells that have been primed and activated so they have already gone through the various stages of b cell development. So their antibodies are of much higher affinity. Also memory B cells in a secondary immune response produce large amounts of the effector antibody ie: IgG... not IgM...
they also have larger amount of MHC on their surface and CD80/86 therefore there is less of a requirement for costimulation and you don't need as much antigen to stimulate the memory b cell and therefore the response is quicker.
they also have different molecules (or different levels) on their surface that help memory b cells with adhesion, activation threshold, cell survival etc...
but the way in which of memory b cells are activated is the same as naive b cells in that it recognises antigen, uptake, process, present to Th cells, activate, proliferate, differentiate and go along to do their thing but the response in doing all these is much faster and greater.