Yes, your Mac is operating at a normal temperature and not overheating if (when) your MacBook Pro is booted and running; it’s running within what Apple considers a normal temperature range.
Apple system management firmware is designed to interpret and react to readings from Apple’s fan speed and thermal sensors, and the firmware will take steps to cool down or to potentially power down the hardware for self-preservation, if and when that is necessary.
Apple typically doesn’t document those sensors nor how to interpret the sensor readings, nor does Apple document normal operating ranges.
Processors operating at around 60°C are not particularly unusual, and brief spikes to 80°C have been reported with some Macs.
But again, nobody around here knows the thermal profiles, nor the sensor reading definitions, and Apple doesn’t usually publish that info.
For assistance with interpreting what a third-party app might (claim to) show, please contact the third-party app vendor. And if a third-party app vendor had that range, they’d probably show it. But here we are.
PS: I’d be extremely skeptical about reducing fan speeds and reducing cooling when using any third-party fan-control apps. I would not suggest doing that.