From the points of view of many, you are asking two different questions: 1) why are sea turtles necessary to the environment?; and 2) what do sea turtles do for us (humans)?
Like all animals in their native habitat, sea turtles are necessary to the environment because they both feed on other organisms and are fed upon. While removing all sea turtles might not have much of an effect on the few predators that eat them, it could have a serious effect on the organisms they consume. For example: some sea turtles are grazers, eating algae that grows on the sea floor in relatively shallow areas. If sea turtles were removed from these ecosystems, the algae could grow with fewer restrictions, which in turn could lead to the algae pushing other organisms out of their ecological niches. As with ALL species (in their native environment), removing it will decrease the food supply for whatever eats that species, and increase the population of species that it feeds upon, either of which could throw off the balance of the ecosystem in which the species lives.
As for what sea turtles do for humans, it depends on your point of view: some would say they do nothing for us, others that they are a food and material source to be utilized, and still others (like myself) who think that they have an intrinsic value all their own, both for their beauty and for their place in the web of life. The mere fact that they exist, that they co-evolved with the species that they prey upon, and that prey upon them, is sufficient evidence that they are a necessary part of a healthy ecosystem. And keeping the biosphere (the collection of all the interconnected ecosystems on the planet) healthy should be important to all the species that live on the Earth, including humans.
Edit:
While I agree with all that Cal King says, he doesn't actually answer the question.