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Hyprland won't "delete" gnome but gnome won't run at the same time as hyprland. Hyprland is effectively a replacement for something like gnome.
The login screen for your computer is called a display manager. If your running gnome this will probably be GDM. After installing hyprland there should be an option in GDM to select which desktop to start. Itll probably say something like
- GNOME (x11)
- GNOME (Wayland)
- Hyprland (Wayland)
Select hyprland, log in, and you should be in hyprland. You won't be running gnome but all of the gnome apps should still be available.
Window managers control the placement of GUI programs on your display. Compositors in X11 control decorations, transparency, and after effects on those windows. In Wayland there is no separation between window managers and compositors, both are called compositors.
Desktop Environments refer to the collection of graphical programs you run when you log in. At minimum there will be a window manager but there also could be a compositor, panels, trays etc. Gnome is for sure a desktop environment and more. Hyprland is a Wayland compositor but can be considered a minimal desktop environment.