From what I have seen there is no credible source for the claim of an official release coming from Bilderberg detailing an agenda of depopulation. It is claimed in many places on the internet but none of these provide reliable evidence that this is the case.
There are some interesting snippets from the wikipedia article worth noting in relation to your question:
According to Thompson, Bilderberg itself is not an executive agency.
However, when Bilderberg participants reach a form of consensus about
what is to be done, they have at their disposal powerful transnational
and national instruments for bringing about what it is they want to
come to pass.
So this points to the fact that they do have significant power at their disposal, so yes they do have some influence on world events.
In 2001, Denis Healey, a Bilderberg group founder and, for 30 years, a
steering committee member, said: "To say we were striving for a
one-world government is exaggerated, but not wholly unfair. Those of
us in Bilderberg felt we couldn't go on forever fighting one another
for nothing and killing people and rendering millions homeless. So we
felt that a single community throughout the world would be a good
thing."
This is confirmation from someone in the group that they were looking to influence world politics.
I don't think any further proof is necessary. It is obvious that they have significant power based upon who is invited and their positions and assets. It is also obvious based on the quote by Denis Healey that as part of their work they would be influencing world events in some way.
There is no evidence to suggest that they have agenda which requires exterminating large parts of the population.