Perming any hair, whether straight or very curly, it's just basically reconstructing the curl pattern. Some women with very curly hair have their hair permed to loosen the wave, while others with stick straight hair have it permed to get some kind of movement and body.

Either way, it's a chemical process and it's very tempting for me to say, "Yes, you're hair will look great!" But the truth is, whenever you do something chemical to your hair, you damage it beyond repair. The only way for it to return to its original state would be if you were to grow it out 100% untouched. The chemicals blow out the cuticle, reshape the cortex to give it that curl pattern, and then you need to add another chemical to neutralize the hair--or, reclose the cuticle/"seal the deal"...

Feel free to get a perm done, but understand it will most likely not feel softer or look shinier. It will have a new shape, but you will still need to use products in your hair, especially since you blew out the cuticle... you'll need products to smooth out that damage and keep it from being super frizzy.

Most hair will take to perms pretty well, but I usually would recommend using rods a size larger than what you think you'll need, as sort of a buffer against your hair taking it "too well", if that makes sense...