This report delves into the intricate processes of star formation, tracing the journey from initial dust clouds to the birth of protostars and their eventual transition to main sequence stars. It examines the factors influencing a star's lifespan, detailing the diverse evolutionary paths based on stellar mass, including the formation of red giants, white dwarfs, neutron stars, and black holes. The report provides a comprehensive explanation of the Hertzsprung-Russell (H-R) diagram as a crucial tool for stellar analysis, illustrating the relationships between luminosity, temperature, and stellar evolution stages. Furthermore, it explores the Big Bang theory, offering insights into the universe's origins and early development. The report also discusses specific examples of stars like Alpha Centauri, Procyon B, and Pollux, offering a detailed understanding of their properties and evolutionary stages.