4-5 paragraphs?! I think you'd be better off doing that yourself or paying someone to do that for you (which I wouldn't recommend). My advice: Give a description on the animal, In this case a horse, Maybe it's history if you want (where it was domesticated from, Etc.), Describe what you'd do if you had one in detail since you need 4-5 paragraphs, Reasons why it's your dream pet, And a conclusion saying why you should get one (Especially if this is persuasive). I, Along with 99.999% of people on this website, Will definitely not sit here and write what is essentially an entire essay for you. We've got better things to do. Given the outline above, I'm sure you'll have one written in no time.
Good luck.