Is it feasible to use an Uno as a visual display for a softphone?

I'm very new to Arduino, but wonder if an Uno with a LOL shield could display when a softphone rings on my laptop? I use softphone platform called Bria 4 with SIP. At times I am away from my computer but a visual display could help... Is it possible?

That may be possible, but it's hard until impossible to say how.

The simplest solution were a program on your laptop, that pops up a message with every incoming call.

Otherwise you have to find some way to let the Arduino know when the softphone rings. This may be e.g. a microphone, amplifier and sound filter. Search the web for such modules, that can be connected to your Arduino.