Just to add to @Anthony's answer, from my experience, lighter strings are easier to play (usually they are more solo-ist strings).

>  I have super weak fingers.

This is not an issue. I don't think every single one that starts playing guitar has super strong fingers. They get stronger with practice. I can understand that you've  gotten used to nylon classical strings, most likely because you've been playing classical guitar for some time.

The same will happen with the strings of the electric guitar you got. At first your fingers will hurt but eventually you'll get used to them