Yes, you can bring your motorcycle with you to the DR. But be aware that importing any vehicle to the country might become a difficlut task, with many obstacles. Customs is not an easy place to navigate, especially for persons not accustomed to that sort of environment, and remember that as the process proceeds there will always be hidden costs that appear.
Before you consider bringing a motorcycle to the country remember that driving a motorcycle in the DR is increasingly more dangerous than driving one in the U.S. or Europe, and it shoud not be your main mode of transportation. Also remember that you should have all your paper work in order before you start the importing process, as this will save you more time.
Click on the link below, and follow the steps detailed for importing a car, which are the same for importing your motorcycle.
http://www.dr1.com/support/index.php?_m=knowledgebase&_a=viewarticle&kbarticleid=187&nav=0,5