The previous posts have addressed the topic quite nicely. I would only add that while there is not much that the current movement pulls from the original revolution, the overall deep sense of environmental ethics are present in both. Probably more of an unintended consequence, the modern movement of environmental respect and understanding brings forth the idea that the Green Revolution understood the importance of the Earth to the daily lives of its inhabitants. Revolution in farming techniques only underscores its importance. This would be the same principle in the Green Movement, in that a shared understanding that the Earth is something that "feeds" us all and benefits us all is extremely important.
I see that you have tagged this with "William Gaud." This means that you are talking about the Green Revolution that had to do with increasing agricultural production. To me, that "revolution" was very different from what I think of as the "Green Movement" of today.
To me, the term "Green Movement" refers to an increase in environmental awareness. It refers to people trying to consume less, use alternative energy sources, etc.
By contrast, the Green Revolution did not worry about any of that sort of thing. It was all about coming up with better breeds of plants and such to increase food production.
The two terms, "Green revolution" and "green movement" refer to two very different things. Green revolution refers to rapid increase in agricultural production in countries like India that took place in second half of the twentieth century by adoption of advanced farming technology and new varieties of crops.
Green movement on the other hand refers to a wide ranging initiatives undertaken around the globe to protect the environment, particularly the natural resources such as green cover of forests and other flora and fauna of the world. The word green in both the term is derived from the predominantly green colour of all kind of vegetation, which is closely identified with agriculture as well as the natural flora of the world.
I do not think that there is much of similarities between the two programs. As a matter of fact the two can be opposed to each other in some areas. For example, increased use of insecticides promoted in green revolution conflicts directly with the need reduce environmental pollution due to use of insecticide. Also usually increase in agricultural production may involve clearing some of the current forest land and other sites of natural vegetation and converting them in farm lands. This is also directly in conflict with green movement.
However perhaps there is considerable scope for collaboration between green revolution programs and green movement to find ways of developing programs that achieve objectives of both simultaneously.