What you're looking for is CPU temps. And it also depends on the model year MacBook you have.
Any way based on what you previously wrote I would say you have a real problem. If you go to the store and tell them "my Mac is literally burning my fingers and I don't hear the fan kicking in" it's hard to imagine they wouldn't take a closer look.
Any way based on what you previously wrote I would say you have a real problem. If you go to the store and tell them "my Mac is literally burning my fingers and I don't hear the fan kicking in" it's hard to imagine they wouldn't take a closer look.