They will ask you lots of questions about your symptoms, so write down everything you think is significant, including how long you've had it, before you go (it's easy to forget things when you're there). Also, make a list of questions you want to ask.
The neurologist will probably also test your hand/eye co-ordination, your reflexes and your tremor.
Don't worry, nothing hurts! Just make sure you ask everything you want to. If you don't understand something, ask them to explain. If you're told you will have to have tests, make sure you know what they are and what to expect.