Curiosity and amazement are a couple key words in our speaker's description of her ideal approach to the world (and her approach to death). The vividness of her opening descriptions of death in "When Death Comes" demonstrates a keen attention to detail and also an appreciation of the strangeness and vastness of the forces at work in the world. We feel that a good way to sum up our speaker's philosophy would be: approach everything with a sense of awe, for there will be something amazing going on if you just pay attention.
Through her many vivid depictions of death, our speaker is expressing a form of awe at both the vastness of death, and also its intimacy through the specific and tangible forms it takes.
For our speaker, the main business of living seems to be to approach each part of the world with a sense of wonder, whether that part of the world is a person, a daisy, or even death.