There´s no need to compare, because they are for a different public.
Jurassic Park it´s more adventure and less action (The protaginust always scape from the dinosaurs, but no fight with them) also, in jurassic Park are no villains, dinosaurs are just hungry animals, they are not truly "evil".
Godzilla it´s most like a disaster movie, a lot of people dies and cities get destroyed, there is no adventure but ships and airplanes firing missiles and stuff, more like a war movie, also, Godzilla hates humans (Especially japanese people) He have a personal problem with us, humans.
If you liked Back to the future, Star Wars, Indiana Jones, Pirates of the Caribbean, King Kong and (obviously) Jurassic Park Saga, then you will like Jurassic World.
If you Liked Jaws, 2012, War of the Worlds, Monsters, Rise of the planet of the Apes, then you will prefer Godzilla.