She and Her Cat Vol 1 manga By Tsubasa Yamaguchi

This is the story of Miyu, a woman who lives alone with her cat, Chobi. As Miyu navigates the world of adulthood, she discovers both the freedom and loneliness that come with living independently, and Chobi learns of the outside world through her actions. Time drifts slowly for Miyu and her cat, but the harsh realities of the world soon catch up…