Turns out, both “curious” and “curation” stem from the Latin root cura (in fact, “cure” stems from that root, too), and cura has the general meaning of “care”.
It's worth thinking about the etymology of curating. It comes from the Latin word curare , meaning to take care. In Roman times, it meant to take care of the bath houses. In medieval times, it designated the priest who cared for souls. Later, in the 18th century, it meant looking after collections of art and artifacts.