Objects is a serverless storage feature that allows users to store metadata for users, channels, and memberships without needing a database setup, and it works within the PubNub platform. It enables real-time event triggers for setting or removing object data, allowing front-end applications to update accordingly. The Metadata API can be used to manage metadata, filter specific data, and is akin to the stream filtering language. To enable Objects in PubNub, users need to create a new keyset through the Admin Portal and configure settings such as the region for storing objects, metadata events, and membership events. The feature includes settings to restrict "Get All Channel/User Metadata" calls, ensuring data is only accessible as needed.