Can anyone explain these in simple sentence structures?
This sentence is incomplete and there are several words missing at the beginning. It clearly refers to an orchestra or a group of singers who gave a performance that is “still talked about ” because it was remarkable, and the performers will have the two concert performances in London to get confidence and further public exposure (hence the “added benefits”) which will prepare (“prime”) them before they appear and perform at a prestigious venue or event elsewhere, probably abroad. It could read like this: Following their appearance in Cardiff, which people still talk about, the University Singers will perform in an international competition in Rome. Beforehand they will get the benefits of giving two concerts in London which will have prepared them for the occasion.