We investigate the ground state properties and tunnelling dynamics of ultracold dipolar bosons in a one-dimensional triple-well trap from a few-body ab initio perspective. Our focus is primarily on the distinctive features of dipolar bosons compared to the contact interacting bosons. The formation of intra-well localization is observed for a very strong dipolar interaction. General population rearrangement as well as fragmentation and localization effects has been found, depending strongly on the particle number. The energy spectrum for two particles exhibits avoided crossings that lead to several distinct resonances involving different bands, i.e. to an inter-band resonant tunnelling dynamics. The corresponding mechanisms are investigated by studying the pair probability and performing an eigenstate analysis.