To add to Perry's answer, which is already very informative:
PETG is subject to creep (permanent deformation under continuous mechanical load), especially at temperatures above room temperature. As a result, many 3D printer designs utilizing printed parts caution against using PETG. PET is generally regarded as not subject to creep below around 80°C.
Unlike PETG, which is amorphous and does not crystallize, PET can be annealed (made to crystallize intentionally after printing is complete) at temperatures between 80 and 100 °C, after which it can handle loads at higher temperatures, reportedly up to 100 °C. However, annealing produces some dimensional changes, which may make it difficult to utilize this property.
PETG has considerably lower glass transition temperature, melting point, and heat deflection temperature than PET.
While this varies by PETG formulation, generally PET can (and often must, due to crystallization concerns when printing slow) be printed at much higher speeds than PETG.
PETG gunks up and sticks badly to most nozzle materials when printing. Certain coated nozzles, and tungsten carbide nozzles, can significantly reduce but not eliminate this effect. PET does not gunk up or stick to the nozzle.
PET is less sensitive to buildplate temperature, and can even be printed on an unheated bed, although this may lead to corners lifting without sufficient adhesion. PETG is very hard to print well without high bed temperature; layer delamination and failure of first or second layer to adhere are common issues with insufficient heat.
PET has extreme layer bonding, giving near or fully isotropic part strength. PETG generally has issues with delamination/separation at layer lines. In my experience, it is far worse than PLA in this regard.