1) Your tank doesn't have to be cycled for plants to go in. Plants are not hurt by ammonia, nitrite, or nitrate at all. In fact, they like having it.
2) You likely won't be able to get any plants to grow with the stock lighting, and if you do, it'll be extremely slow and probably like 1 or 2 species that are able to stay live in it. You definitely need to upgrade your lighting if you want to go planted.