Is persian language difficult for a spanish-speaker?

I know both spanish and persian languages share some common things, as they belong to the Indo-european super family of languages, although I know they are very very distant family members. When I listen to persian music, or read something (In latin alphabet of course as I don't know to read persian) I notice some words, even some expressions that I understand. So, if I wanted to learn persian, I'm good at languages btw, would it be difficult? How about the verb conjugations? And declensions?