Yes, "dedicarse" is a reflexive verb: to dedicate oneself. Ella se dedicó a la causa de paz. However, "dedicar" (not used reflexively) means to direct something as in: Yo dediqué mi libro a mis padres. Both are used exactly as in English.

Yeah,dedicarse is reflexible.(to oneself) Otro ejemplo de verbo reflexiblo es por ejemplo:peinar (peinarse a si mismo) Other example of reflexible verb is for example:brush (to one self) Contact me if you want my help.I am looking for more english partners :)