Translation:After the appointment we are going to the cinema.
In fact "the cinema" often refers to the whole idea of films and the fact of seeing them, rather than a specific place, and is probably the meaning we have more in mind here. When we say that we went to "the cinema", we don't have a particular building in mind, just that we went to see a film/movie. Not so long ago in Britain we might have said "we went to the flicks", which certainly didn't refer to the place. (it comes from "flickering pictures").
For this native speaker (BrE) the question "Have you been to the cinema recently?", for example, has exactly the same meaning as "Have you been to the movies recently?"