Yes, it's a climbing rose. If it has flowered twice, then keep dead-heading and you might even see some more flowers! Cut off the sprays of dead flowers, back to a healthy leaf or 'bud' on the stem, not individual flower heads, and not just the petals, either.

You will probably wind up cutting off entire clusters of the hips, since new blooms from inside the cluster are going to be small and sparse.

Did you know that the hips go a red colour by september and can be a good display .. If you remember as a child hips can be opened up and make itchy powder ...usually done by boys in the old days not meaning to be sexist . Hips can also be stewed and pressed to make rosehip syrup but you need to find a recipe for it.
It will be a hardy plant that wont mind some pruning.

It depends on exactly what kind of rose this is. Some have tasty red hips--high in vitamin C, too--and some have nasty green-brown hips. Probably worth leaving a cluster or two to develop, just to find out.

its a lovley rose .