I have a Lectric Limited sender in my '79 and it seems to be accurate. I have a 160 thermostat and as the car is warming up, I can see the temp start to drop down to 160 once it heats up to 175-180 degrees on the gauge.
OP, you said your AC is out? Most cars equipped with AC also had mandatory RPO code V02 HD cooling, which was a 4-core radiator, if I recall.
Might want to step up your new rad, see if that helps. Try a 4-core, or a fat 2-row with the oversized 1" to 1.25" rows like Griffin, Cold Case, etc. Those usually outperform any other radiator. When you get your AC working again, the three core you got may not be good enough to shed the condenser heat.
And as suggested, check water pump divider plate clearance. That usually ends up being the number one issue with hot-running Pontiacs. Over the decades, vendors used crappy impellers prone to cavitation, they didn't press them on at the right height, or they shaved the vanes at the top; and so when adding the divider plate, there is a huge gap, often reported exceeding .250". Because of all this inconsistency, the original specs got lost in translation. Most owners with factory/NOS pumps and divider plates report no larger than .100" clearance with OEM parts, so that is the generally-accepted maximum spec, so most try to shoot for under that. I'm getting pretty hot at idle after 30 mins of driving lately too, so I took a look at my water pump and after some searching, I was able to identify it's an 11-Bolt A-1 Cardone unit that was installed by a PO in 2018, and given Cardone's reputation, odds are good when I pull it to replace it with the new Flowkooler I got, it'll probably have a crappy stamped impeller and a huge clearance. I'm almost expecting it.