Cell biology is the study of cells, the basic unit of life, with key historical contributions from scientists like Robert Hooke and Anton van Leeuwenhoek. It includes the concepts of cell theory, cellular totipotency, and distinctions between prokaryotic and eukaryotic cells, as well as the structure and function of various cell organelles. Key functions of cell structures include energy production in mitochondria, photosynthesis in chloroplasts, and protein synthesis in the endoplasmic reticulum.