Cisco router question

Hello Sir-s
I have an dumb question, will my network work in 1Gbit if my router is 100Mbit? is internal routing a thing inside switch? or do I need to enable managed routing as Layer 3 inside switch if yes, how to?
Else if 1Gbit router is req. say so thanks in advance.
@SgtAwesomesauce @wendell I shall summon thy Lord.

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Communication between local devices will be 1Gbit as long as they are all on the same switch.

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If your router/switch will only handle 100Mbit, then that will be as fast as your network will communicate.