Reddit reviews The Climate Modelling Primer, 4th Edition

There is "Climate models for lawyers" (a 18 page pdf) by Judith Curry. And a book The Climate Modelling Primer. And from that book page, Amazon also suggests several other climate model books.

Something along the lines of Bill Ruddimans Climate Past and Future

https://www.amazon.co.uk/Earths-Climate-NA-N/dp/1429255250/ref=dp_ob_title_bk

Its an introductory testbook covering the basics.

David Archers courses are also for basic introductory level

http://forecast.uchicago.edu/classes.html

MITs open courseware has lots to chose from

https://ocw.mit.edu/courses/earth-atmospheric-and-planetary-sciences/

McGuffies Climate Modelling Primer is another introductory work for those with a basic knowledge of physics.

https://www.amazon.co.uk/Climate-Modelling-Primer-Kendal-McGuffie/dp/111994337X

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Start by getting a grasp on the radiative transfer model (which is discussed in Archer and Ruddiman works). And also basic atmospheric and ocean dymanics.

Be able to explain the 3 cell model of the atmosphere, describe the development of depressions, tropical storms and other basic weather phenomena. Be able to describe the basics of ocean circulation, the ENSO and its links to Walker Circulation, what the mixing layer, Eckman Transport and bottom water formation are.

Then be able to describe paleoclimate, what caused the recent glaciations, what the Paleocene Eocene Thermal Maximus was and so forth.

McGuffie should be a good over view of modelling.

Most of the books should be available in a uni library the courses are free to peruse though I have not checked if they are still open atm.