To dream of/about (doing) something means "dreaming of something or dreaming of doing something"
He dreams of becoming a famous violinist one day.
He dreams of becoming a famous violinist one day.
You can also talk to the talk clause
I never dreamed that I would see you again.
I never thought I would see you again.
There is only one case where you can be a transitive verb, directly following the object, but in this case it must be a cognate object.
I had a terrible dream last night.
(The former is a transitive verb; I had a terrible dream last night.