That's natural. Your dry rock is a fresh new place for algae to grow, so you're going to see lots of algae growing. In fact, this is good! It's the first stage of your rock starting to mature. And doesn't it look better than all that stark white? That short green algae is beneficial algae, it competes with the pest algaes. Pest algaes are things like green hair algae and cyano (technically that's a bacteria, but it acts like algae), that grow fast enough to grow over corals and irritate them. Slower-growing algaes that stay on your rockwork and don't bother corals are beneficial, as they feed your tank's microfauna and compete with the pests. Coraline isn't the only beneficial algae.
You need to keep nitrates at 5ppm or higher, and phosphates at, bare minimum, 0.03ppm. Corals need both nutrients to survive, and beneficial algae also needs it.
Give it time. You may have some surges of pest algae once that's introduced on frag plugs or other solid surfaces. Don't mess with it. If any long hair algae appears, pull it out by hand so the short stuff is easy for the snails to eat. If any cyano shows up, ignore it or manually remove it.
Once you start having more algae on everything, introduce or increase a cleanup crew. You don't want them to reduce the algae, or they'll run out and starve, you just want them to keep the algae from spreading rapidly.
Coraline can take a long time to get established. It may not show up at all if it hasn't been introduced yet. See if you can find someone with some empty shells or frag plugs, something of that sort, that have coraline on them. Adding that to your tank will add coraline. The coraline may not spread for now, though, it likes a slightly more established tank. Dry rock takes a long time to get established- it takes years for dry rock in the ocean to really mature, and dry rock in an aquarium is at a massive disadvantage when it comes to being exposed to biodiverse organisms.
Do not scrub your rock. All that does is make it clean again and set it back to zero- which means pest algae can spread on it again. It hurts the rock's maturity, and the algae will spread back in.