"Inubaka" centers around Suguri Ohara, a young woman with an extraordinary ability to understand and communicate with dogs. Her life takes a significant turn when she moves to Tokyo and begins working at the Lupin Pet Shop, a store specializing in dogs. The series explores her daily interactions with customers, colleagues, and the dogs themselves, blending slice-of-life elements with comedic and dramatic moments.

The narrative delves into the lives of the shop's employees, including the kind-hearted but often clueless owner, Tetsu-san, and the sharp-tongued yet skilled groomer, Chizuru. Each character brings their own quirks and challenges, creating a dynamic workplace environment. The dogs in the shop, ranging from playful puppies to older, more reserved canines, play a central role, often mirroring the personalities and struggles of their human counterparts.

As the story progresses, Suguri's unique ability becomes a focal point, helping her navigate various situations, from resolving conflicts between pets and their owners to uncovering deeper emotional issues. The series also touches on themes of responsibility, companionship, and the bond between humans and animals. Through its episodic structure, "Inubaka" provides a heartfelt and often humorous look at the lives of those who dedicate themselves to caring for dogs, while also addressing the challenges and rewards of pet ownership.