No, technically, you don’t “need to” watch the previous Jurassic movies to watch Jurassic World: Dominion. But should you watch them? Yes. That’s not because you need to understand the characters or storylines that led to the sixth and final installment of the franchise. But because it’s a modern classic, especially the Jurassic Park trilogy. It’s also nostalgic, as most 90s movies now are.
As far as the Jurassic World series is concerned, Jurassic World and Jurassic World: Fallen Kingdom do serve as previous chapters to Jurassic World: Dominion. It might be helpful to know about the characters and the overall plot, but again, it’s not required.
If you want a short but complete idea of what leads to Jurassic World: Dominion, then here’s something you can watch and still skip all the movies in the franchise.