Brocho before eating this: Borei Pri Ha'eitz
(except fruits which normally require Borei Pri Ha'adama. See: Dried Papaya, Dried Pineapple, and Dried Banana Chips)
Brocho after eating the proper shiur of this: Borei Nefashos (However: dates, figs, and raisins require Al Ha'eitz)
Source: The Laws of B'rachos (page 367)