Stream of consciousness is a style of writing that depicts a character's thoughts and feelings as a kind of flow, unseparated from one another or from that character's reactions to the things going on around her. In the case of this story, then, the periods in the text where Granny Ellen Weatherall's inner monologue is described by the narrator are presented as stream of consciousness.
After the doctor comes and goes and Cornelia leaves Ellen alone, her thoughts begin to drift: she thinks of how she prefers things to be orderly, whether physical or metaphysical, recalls the items in her kitchen and the dusting that needs to be done, and her mind alights on the youthful letters she sent and received from her husband as well as her first fiancé. She makes plans for tomorrow and considers death again. Ellen does have a short interaction with her daughter, Cornelia, but she lapses into stream of consciousness again soon.
In her mind, she responds with indignation to her daughter's behavior, and she begins to think about all her children as adults, and then as they were when they were children, and Ellen considers wanting to speak to her husband. She seems to desire his approval and his recognition that she did well with their children, their farm, all on her own. This period of stream of consciousness lasts significantly longer than the first, giving an indication that Ellen is growing nearer to death. We see the way her mind moves from one subject to another, apparently relatively unmoored and directionless, making odd connections that are only somewhat related, if that, to the world outside her head.