That website tries too hard to write clever marketing copy and does a bad job describing what actually is.
Better description: Pinokio is a free, open-source "AI browser" that simplifies installing, running, and managing complex, open-source AI applications and creative tools (like Stable Diffusion, ComfyUI) with one-click scripts, removing the need for coding or complex command-line setup.
I think in this case browser is meant as a place to browse, e.g. the Google Play store is an app browser. I don't hear it used that way often anymore, but it at least sounds familiar.