Noooooo, no cutting of old canes/stem. They store water and nutrients for the plants. Unless the older canes become brown, they serve a useful purpose and should be left as is. Give it as much sun as possible, regular fertilizer and good watering during the summer while growth is happening. Reduce watering as weather turns colder and no new growth occurs. let it be cool and dry during the fall and winter to allow new buds to develop, just don't let it go to at or below freezing temperature. Happy growing.