I have a 2003 silverado 1500 LS with the 4.8 in it. I bought it used several years ago and I'm looking to tow a camper this year. I know what the condenser and radiator look like but not sure what this small cooler is of the the side. Is this my transmission cooler???

Transmission cooler???

 

Welcome from Florida. It looks more like the power steering cooler.

 

As oldchevy said, that is your power steering cooler.

 

I agree. it's a power steering cooler. Try this site for a good transmission fluid cooler:

https://www.haydenauto.com/en