This summer I am going to participate in a REU program at a top school for my field. I'm not a super spectacular student but get decent grades and do some quality research (but no publications yet). Honestly, I'm not quite sure why they picked me, as several of my peers with better grades (but less passion) were rejected. Regardless, I'm super stoked. If this REU goes well and I continue being a good student and "great" researcher at my decently respected undergraduate institution, would I theoretically have a solid chance of going to grad school at this place? It is literally my dream school. Is it even common to go to grad school at the school one does a REU?