There are some shortcuts for moving the checkers. You can make a new point by right clicking on the empty point that you want to make. As an example, if you roll 31 as the opening roll, and you want to play 8/5 6/5, you simply place the mouse cursor on the 5-point and right click. Making points this way also works if you hit a checker, and with doubles.
Another shortcut can be used in the bearoff phase of the game. By clicking in the bearoff tray, two checkers will be born off if such a move is legal.
GNU Backgammon can auto play forced moves for you. This feature can be enabled by choosing Settings -> Options... -> Game , and then check the box Play forced moves automatically.