Actually while it's generally female, it's not always! It depends on the region of Indian continent / ethnic group, as the final "-a" in many Sanskrit-roots may or may not be dropped depending on the modern language of derivation. For example, I know several Telugu, Marathi, and Bengali males named Apoorva/Apurva.
That being said, it does appear that this instance of Apoorva is indeed a female name (and in general, Tamil names like this one don't keep the aforementioned "-a" in the masculine).