The island can be accessed by ferries ( some which take cars) from Hyannis on Cape Cod. You can also get to the island from many east coast airports primarily during the summer season. Best bet for year round air travel is from Boston Logan airport.
The village of Siasconset on the eastern end of Nantucket Island is famous for its flower covered cottages and sea shanties, some that date back to the 1700's. You can catch them in full bloom during the summer months of June, July, and August.