He/She should be able to interpret them. They do come from the unconscious. I think they are the most amazing thing. Sometimes they are so freaky, that I am astounded how my mind could come up with something like that.
As I started to talk to my T about my dreams, I've learnt to understand them better. Sometimes I don't have a clue, but sometimes it is possible to translate the dream image into something meaningful about yourself. Sometimes I have my own interpretation, he has completely different, but when think about it a bit more they kind of connect in some ways.
Echo, if you new T is psychodynamic, I'd say she would be interested in dream work. I think it is much more interesting to them to have a client who dreams and brings in their dreams. They are such powerful images sometimes.
BB, what you said reminded me what I do sometimes. Sometimes I wake up and I know that I just forgot my dream. I have a hunch of a dream, but it's gone. So I try to focus on the feeling as much as possible, dig into it and find a tiny thread of a dream that just vanished. Sometimes it works, I kind of grab the thread and pull it and the dream comes back to my memory. Worked couple of times. And if you remember just an image or a few, and you write them down, the rest of the dream comes back as well.