Translation:It is important for me.
Pay heed, this is a complete guess, but maybe "me importa" can mean that something (he/she/it) matters to me, as in it can be used in that context. Because the he or she is not specified it is it, because you know that because if it were he or she they would have said so. Okay so that's just my completely uneducated take on it!
. "Me" here is the indirect object, it is receiving the action. The subject is an implied "it" and the verb importa means to be important. So "It is important". Who is it important to? (Who is the indirect object)? I am. This sentence is challenging because of the implied subject. If it was Ella me importa, it would be She matters to me, and that is a little easier to see.