At this point, the monster is only a living being confused and not knowing what feelings are, much less love.
After being rejected by the humans, the monster had to escape to the forest alone. There he starts feeling sad, lonely and demanding to feel happiness although it is not very clear what it is.
Victor visits Mount Montanvert to refresh his mind when he sees the monster approaching to face its creator and says "make me a companion". Victor refuses, and the monster asks to hear his part of the story