Sun Palm Transport Review
Downtown Cairns is about 7km away so you will have to take a taxi or airport shuttle to get down there. The main airport shuttle service is operated by Sun Palm Australia Coach who has a booth directly in the arrivals terminal near the main exit. At $10 per person, the prices are ok if you are traveling by yourself. If you are traveling with more than 2-4 people you should consider getting a cab and with 5-8 people get a maxi-taxi as that will be much cheaper. The shuttle bus is just a large van so really it is no different from a maxi-taxi at all.
Official Website: Sun Palm Transport