I know most people suggest that going to the cinema is uninventive and doesn't allow for a lot of conversation. In your case that might be a good thing - it will help you determine whether you can just be comfortable in her company and want to get to know her more without a lot of continuous back and forth to cloud your thinking. All being well afterwards, you can grab a bite to eat and have the movie as something to discuss - it's the reason why the cinema has been fool proof for so long and shouldn't be undervalued!