Repeat flowering roses should be pruned once the flowers have died. Just remove the dead flowers and possibly one set of leaves. Cut to the nearest healthy looking bud which, if you look closely, will just be emerging where the leaf petiole meets the stem. For climbers, any long, whippy growth should be tied in to prevent wind damage and to enhance the display.
Look out for root suckers at this time of year. These are easily identifiable as they tend to be bud free, have a different number of leaves and the stem is often a deep red in colour with very vertical growth right from the base of the plant. This sucker is shooting from the bud union root stock and your rose. It literally sucks all the nutrients out of the plant. Follow it back to the union with your rose and cut it off here.
It is worth feeding any recently pruned roses.