You don't say where you live Sofia. If you're in DR you can go to the archives in Santo Domingo where all the records are. If you're elsewhere, find out where the closest Mormon Family History Center is, they're literally all over the world. They have sent teams of photographers to SD to put all their records on microfilm. When you go to the FHC [Family History Center] you can rent any of the Dominican microfilms for about $5-6 - the FHC has microfilm readers so you can view them right there. Many of them have printers too, so you can make copies of records you want to keep. They will not let you take the films out of the FHC.
To find your closest FHC, go to
FamilySearch.org - Family History and Genealogy Records and click on Libraries, then on Family History Centers. They also have SOME [not a lot] of records online. They're working on digitizing all their films, which will take decades to do. On that website you can also find a listing of every film available for the Dominican Republic.
All of the above is true no matter what your ancestry is. I've tracked my Italian ancestors back into the early-mid 1700s using those microfilms. Just starting my husband's Dominican family tree, will probably spend some time at the SD archives in January.
AE