In a non-stick pan, heat the olive oil and sesame oil over medium-high heat. Add the garlic and ginger, stirring constantly, until fragrant, about 30 seconds.
Add the bok choy to the pan cover with a lid and sauté, stirring occasionally, until the greens are wilted and the stalks are tender but still a little crisp.
Taste and adjust the seasoning with salt and pepper before serving.