The planetary command center (PCC) houses the central government for your empire. This is your "flag in the ground" that lets everyone know you've staked your claim to a planet. It provides some basic resources and and storage for those resources both of which increase with the level of this building. The planetary command center also provides some critical reports on your planetary activities such as total resource production and total resource storage for the planet it's constructed on. It's one of the most versatile buildings in the game, but it's also very expensive to upgrade.
You can't demolish a PCC because it is a requirement of a having a colony.
The PCC's starting level will be set to whatever your growth affinity is set to. For example, humans have a growth affinity of 4, which means the human PCC will start at level 4 for every planet they colonize.
The PCC will only generate the Algae food type.
You can also view what Plans you have available
The PCC is also the key requirement for construction of Supply Pods
Playing Tips: While after a time it may not seem worthwhile to upgrade this building due to relatively high costs and long build times it actualy does turn out to be worth while. The extra production this building produces can add additional upgrade ability to a colony that might already be maxed out using regular buildings since it is not level capped as other resource producers are.