Google search produced this easy to understand explanation:
There are 4 parts and this is what they do:
1. The compressor which is used to increase the pressure (and temperature) of the inlet air.
2. One or more combustion chambers in which fuel is injected into the high-pressure air as a fine spray and is burned creating heat the air. The temperature in the chamber rises during combustion, so the hot air needs to occupy a larger volume than it did when cold, so it expands through the turbine.
3. The turbine which converts some of this temperature rise to rotational energy. This energy is used to drive the compressor.
4. The exhaust nozzle which accelerates the air using the remainder of the energy added in the combustor, producing a high velocity jet exhaust.
See a video of how all this happens courtesy of GE here-
Engines 101
And just like your car engine, a starter motor is used to get it all started.