While there is a Quicksave feature I could not find the corresponding Quickload.
Neither in the manual nor in the Keyboard shortcut sheet from the sticky post here.
So I fired up Autohotkey and made one.
http://www.autohotkey.com/
It's free so *shrug*.
For Quickload I used the "[" and "]" keys.
One to load the most recent game, the other to dispatch the 2 screens that always pop up when you load a game.
I also like the brief colony list a lot so I put that on F12.

These macros include mouse movements tailored to a 1024x768 resolution.
Autohotkey offers tools like a macro/mouse recorder if you wish to adapt them.
Once Autohotkey is installed, all you need to do is to put the code segment in a text file and name it something like
GalCivMacros.ahk
You can then start the macro by double clicking it.
[code]
#ifwinactive, ahk_class MTDShell
;Quick Load 1 ---------------------------
[::
Send, {Escape}
Sleep, 30
MouseClick, left, 590, 739
Sleep, 30
MouseClick, left, 325, 187
MouseClick, left, 325, 187
Return
;Quick Load 2 (close report + planet screen) --------
]::
;With GNN enabled:
Send, {Escape}
Sleep, 30
MouseClick, left, 928, 689
Sleep, 30
MouseClick, left, 946, 686
Sleep, 30
Send, {Tab}
Return
;Hotkey to bring up the colony list ---------------------------
F12::
Send, {F6}
Sleep, 30
MouseClick, left, 97, 49
Sleep, 30
MouseClick, left, 98, 91
Return
[/code]