Conquistarme comes from the verb conquistar, meaning "to conquer" or "to win over." While it can refer to military conquest, in a romantic context, it means to charm or win someone's affection.
In this song, the singer expresses a desire for his beloved to "conquistarme" (win him over) with small details, highlighting a longing for a deeper, more intentional connection. It's a beautiful way to express the desire to be swept off one's feet.
"Te Quiero Tanto, Tanto" is a straightforward love ballad from Calibre 50, built around one plain confession repeated until it sinks in: the singer loves his partner so much he can hardly find words for it.
He opens by wishing she could understand how hard it is for him to express himself, and promises that no one else compares to her. The chorus just piles the same phrase on top of itself, "tanto, tanto, tanto" ("so much, so much, so much"), growing a little more every day. Toward the end he widens the idea outward, hoping the whole world learns from their love how beautiful it is to love someone.
It is a song about devotion so large that ordinary words fall short, so the lyrics lean on repetition instead of metaphor to get the feeling across.