Disney does not provide a shuttle. You have a few options, the Lynx bus system which is cheap (I do not know the cost) but it may take awhile and I think requires a transfer.
You can use a town car service, which will cost about $65.00 or so round trip. You can use Mears shuttle and that will cost about $14.00 per person round trip. Or you can take a cab which will run about $23.00 each way plus tip.
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forgot to add, you can rent a car for the day, we did for the day we went to Sea World we needed a van as there were 7 of us. the cost for the day was $45.00 which included the taxes etc. Cars can be rented from the Car Care Center near the MK and from the Dolphin. We rented from the Holiday Inn in DTD but that hotel was closed due to storm damage, not sure if it has reopened or not.