Osewagakari wa Mamanaranai

Touka Iijima loves the 2D world. She decides to leave her parents' house and live in her mother's friend Katsura's condo conditionally when she goes to college. The condition is to take care of her pet dog, Mikuro. The long-awaited start of living alone! As soon as she moves, a mysterious handsome man named Oku shows up saying, "I'll take care of the dog, so let me live with you."

(Source: Kodansha, translated)