Season 1 is essential listening. It's not very long, and takes you through the journey of putting astronauts on the moon with tech far less advanced that what you're reading this on. It came sooooo close to failure on more than one occasion. When that lander touched down, it had something like 8 seconds of fuel left.
Season 2 is the story in detail of the Apollo 13 mission. If you loved Season 1 and want more, then go right ahead. I liked season 2, but nowhere near as much.