In the novel their one purpose is 'to survive' p224, and they return to space looking for a less 'fierce and inhospitable planet' The Body Snatchers by Jack Finney (1955) Chapter 21, p223. [While the narrator's opinion, the implication of the text is that he is somehow in touch with their intent, and feels their departure.] It is however clear that they can 'reseed' space.
Given 'survival' as a goal, and seeding as the mechanism, imitation of animal/human life is only a biological stage - not an end - so speculatively, once having replaced humanity, they would replace animals and plants too until they were the whole biosphere and then spore spreading on to other worlds. [The sporing stage would probably slough off human appearances growing to the size of St. Paul's cathedral. I base the latter on the biology of the Krynoids in Doctor Who (influenced by Finney's body snatchers, and Nigel Kneale's Quatermass Experiment (1955 contemporary with novel)]