Re offscreen rendering: This is orthogonal to double buffering but refers to the way modern compositing desktops (including Wayland) work. The application renders the window image into an offscreen surface which is then handed off to the compositor, which blits it to the screen.
Re GPU rendering: You can draw rectangles on a surface on the CPU by simply setting pixel color values in a loop, or you can draw them on the GPU by sending a list of rectangles and have the GPU do the rasterization of the rectangles. Toolkits like Qt or Gtk can do both, depending on the backend that is selected, and will typically default to GPU rendering on modern desktops.
