Short answer: They will turn into sedimentary rock.
Longer answer: Sediment is little bits of rock, dirt, even some organic (formerly living) material. It's glop, basically. The particles are smaller than sand particles. What's interesting about this glop is that, after a few million years, the little particles will all glom together, forming rock! This type of rock is called SEDIMENTary rock, for obvious reasons. Certain types of sedimentary rock I'm familiar with are sandstone and limestone.
Interestingly, that's not the end of the story. If this SEDIMENTary rock is undisturbed, and somehow (too complex to discuss here) gets buried under a mountain or lots of heat and pressure, for many MORE million years, the chemicals in the rock undergo a change. They get harder and mroe like crystals. Ta-da, the sedimentary rock is now METAMORPHIC rock (because it has undergone this metamorphosis of becoming harder and more crystalline.) So limestone, a sedimentary rock, will become marble, a metamorphic rock, after exposure to millions of years of heat and pressure.
Sedimentary rock is not strong stuff. Often, if you rub it with a finger, you can rub off little pieces of sediment--little bits of grit. There's no way you could ever do this with metamorphic rock.
Geology is fun! And there's one other type of rock, but I'll leave it up to you to find out.