When I sew for myself or my family, I don't really care what the inside of the garment looks like (I know....a true seamstress would, but I don't). When I sew for someone else though, it's a different story. I want the inside to look finished. So here is a pretty way to finish a seam. I learned it as the "french seam". I have seen different variations of the french seam, this is mine.
Begin with your fabric "right side out". That's just the opposite of what you're used to. Sew a scant 1/8" seam.