temperature gauge reaches a temperature it never changes

Just from this info, I suspect this is normal unless this is new. Meaning if the temperature gauge would range up and down a small amount then we can suspect the temp sensor is the issue.

However, what temperature does it reach and stay there? And is this new?

The reason I ask this, is the goal of the PCM and cooling system is to reach proper operating temp and then keep it there. This is where the engine runs at its most efficient so it wants to keep it at that point.

Maybe get a picture of the temp gauge when it is at this point that it doesn't move and we can go from there..

Lastly is there an issue with the engine? Does it ever overheat or run poorly?

A few weeks back the radiator burst. Even then the temperature gauge moved very little if any. When the radiator burst I would think the temperature gauge would have at least moved upward. Radiator has been replaced and it runs good.

Okay. I suspect the coolant temperature sensor is sticking. Basically these are just a resistor that as the temperature increases, the resistance decrease and the voltage output increases. So we can test this. Remove the sensor and hook up a meter to the leads and set the meter to ohms. Then put the sensor tip that would be in the coolant in a pot of water and put it on the stove. As the water heats up, you should see the resistance change and it should be smooth and steady. Let the water get to the boiling point as the resistance should be moving the entire time. I imagine if this is the sensor it is going to reach a certain point and stop even though the water is still get hotter.

Let me know if you have questions.