I'm not assuming anything, I'm trying to estimate the state of that planet's possible life. Only assumption is that in relatively similar conditions life will emerge in relatively similar time. I think that's pretty solid estimation.
I don't remember how old exactly this star (and planet) is... (wikicheck)... estimation is that it is 4.3 billion years old. Seeing as how our own Sun is slightly older at 4.57 billion years, it means that there's no way of knowing what is going on there. It mainly depends on how fast the planet cooled down after being formed, and how long lasted until by change some replicating molecyle was formed. On Earth, first life left it's marks about 3.7 billion years ago - that's about 870 million years from the light-up of the Sun.
So, on Earth it has taken that much time for life to spin out relatively advanced culture with pre-requisites for observing radio signals and sending them to another star. On Gliese 581 it might take infinite time (if the planet is full of no-lifes so to speak), or shorter or longer time. Depends so much of conditiosn that we cannot analyze at the moment. In fact it is reasonable to assume that the planet took slightly longer to cool down to life-suitable temperatures because it is that much bigger and soforth...

One thing is sure, however - if there isn't anyone listening when our signals arrive...then it is very unlikely that there would be a civilization able to do it in a hundred years, or a thousand, or even in a million years. That's what I meant - if we don't get any response, it really isn't worth the trouble to keep one hell of an effective radio transmitter shouting it's signals towards the planet for a billion years until someone finally responds. And seeing how Earth will become unsuitable for life as we know it in about 0.5-1 billion years, it might not matter. For 40 years it might be worth it to keep pinging, but if after the 40 years (and some) there's no respond, it's very likely there's not gonna be an answer on our life time, which means that it's more sensible to switch onto periodic ping mode... in cycle of 40 years, send a couple of days of hail message and some information, then wait, keep listening, and in another 40 years, send another message series.
The possibility that there was a radio-capable civilization but is no more is, obviously, very real. But also in that case the previous statement holds - if there's no advanced civilization now, it is highly unlikely they would develop the abilities and means to communicate with us just after we discovered the planet.
However, stranger things have happened, such as the life, universe and everything.
Obviously, if theres no answer, we have to send a star probe to check out the planet. Preferably a self-sustainable colony ship. Heck, I would likely volunteer for such mission if it was in any way technologically feasible. Also, referring to the impending destruction of Solar system in max. 5 billion years, that planet might be the last best hope of survival for Earth's life...
Although, it would suck pretty badly for the colony ship's crew members to notice that the planet isn't suitable for humans after a millennia-long journey...
