Despite the fact that it's despised by pop culture, Terminator 3: Rise of the Machines is my favorite of the (now six) Terminator movie. Yes, more than 1 and 2 - though I acknowledge that those two are better on a technical and artistic level, I simply enjoy T3: Rise of the Machines a lot more than any of the others. This is partly because of the much derided humor - I think the Terminator franchise often takes itself way too seriously (this was particularly clear in Salvation) for the level of writing they put out there. The time travel stuff, while relatively decent in comparison to many other franchises, is still way too silly for me to take particularly seriously, and the entire franchise being centered around the future destruction of most of the human race definitely drags things down (which was very well done in the last few scenes of T3).
Aaron Allston, one of the best writers for the Star Wars: X-Wing series (and many others), was a very strong fit for writing tie-in media novels for T3. He has a great blend of tragic and humorous sensibilities, and embraces silly situations with just the right amount of "this is cool, ignore the silliness" and self-awareness to pull most of it off. The first of the two novels he contributed to this tie-in project, Terminator Dreams, leaned a bit too heavily into the tragic. This one, while keeping the stakes fairly grim, manages to have a lot more hope, as well as a fair amount of humor and a lot of action.
If you loved the X-Wing novels that Allston entered the Star Wars Expanded Universe with, you'll love the way he uses a similar format of elite units which take an unusual approach to tackling insanely huge enemies - and the main character is very reminiscent of two of his most successful characters in the third novel of his X-Wing books. A broken, brainwashed man, Paul Keeley reminds a reader heavily of Myn Donos and Lara Notsil, and his struggles against his implanted control device from Skynet and the T-X in the book also call back to the New Jedi Order: Enemy Lines duology Allston wrote in the early 2000s.
All in all, Allston captures the feeling and enjoyments of the T3 film - the sunny, dusty setting, the weary but still competent and optimistic Resistance Leaders John Connor and Kate Brewster and their daughter Kyla, and his numerous original characters in the human resistance. The characterization for the T-X and her robotic Skynet minions was pretty enjoyable as well. There is a sense that Allston may have been trying to fit a lot more story into the book, as some plotlines seem like they might have fit more organically into an additional volume, but on the whole, T3: Terminator Hunt provides an action-packed but still character-rich read for fans of the Terminator films.