However maybe the make.log won't help. Because you appear to have a working kernel driver.

I can also see this failure, which is important:

Jun 17 21:09:53 little-black-box gnome-shell[1367]: Unable to initialize Clutter: Unable to initialize the Clutter backend: no available drivers found.
Jun 17 21:09:53 little-black-box gnome-shell[1367]: Unable to initialize Clutter.

which would/should be related to:

Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) NVIDIA(0): Creating default Display subsection in Screen section
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]:         "Default Screen Section" for depth/fbbpp 24/32
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (==) NVIDIA(0): Depth 24, (==) framebuffer bpp 32
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (==) NVIDIA(0): RGB weight 888
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (==) NVIDIA(0): Default visual is TrueColor
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (==) NVIDIA(0): Using gamma correction (1.0, 1.0, 1.0)
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) Applying OutputClass "nvidia" options to /dev/dri/card0
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (**) NVIDIA(0): Option "AllowEmptyInitialConfiguration"
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (**) NVIDIA(0): Enabling 2D acceleration
Jun 17 21:09:53 little-black-box systemd[1]: Starting NVIDIA Persistence Daemon...
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) NVIDIA(0): NVIDIA GPU GeForce GTX 770 (GK104) at PCI:1:0:0 (GPU-0)
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (--) NVIDIA(0): Memory: 4194304 kBytes
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (--) NVIDIA(0): VideoBIOS: 80.04.c3.00.72
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) NVIDIA(0): Detected PCI Express Link width: 16X
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) NVIDIA(0): Validated MetaModes:
Jun 17 21:09:53 little-black-box nvidia-persistenced[1439]: Verbose syslog connection opened
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) NVIDIA(0):     "NULL"
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) NVIDIA(0): Virtual screen size determined to be 640 x 480
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (WW) NVIDIA(0): Unable to get display device for DPI computation.
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (==) NVIDIA(0): DPI set to (75, 75); computed from built-in default

Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) NVIDIA(0): Setting mode "NULL"
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (==) NVIDIA(0): Disabling shared memory pixmaps
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (==) NVIDIA(0): Backing store enabled
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (==) NVIDIA(0): Silken mouse enabled
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (==) NVIDIA(0): DPMS enabled
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) Loading sub module "dri2"
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) LoadModule: "dri2"
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) Module "dri2" already built-in
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) NVIDIA(0): [DRI2] Setup complete
Jun 17 21:09:53 little-black-box /usr/lib/gdm3/gdm-x-session[1434]: (II) NVIDIA(0): [DRI2]   VDPAU driver: nvidia

But that looks like everything is working.