Starting a Pratt & Whitney PT6 is different in a Piper M600 than it is in a Daher TBM 930, and a Boeing 737 is different than a Boeing 757.
There are some similarities, however. Like piston engines, turbine engines work on the principle of suck, squeeze, burn, blow. They both take in air, compress it, mix it with fuel to create combustion, and then expel the exhaust. But where starting a piston engine carries little risk to the aircraft’s components, the temperatures and pressures generated inside a turbine engine must be closely monitored, lest they quickly cause major damage.