Audacity is licensed under GPL. You can read all about it here: http://audacityteam.org/about/license
You mean you are trying to know if the audacity could be set or embed to a website to appear as a tool. I think it is a good thing to see if it is possible. Then we could at least put it on our personal website to use as a tool if it is possible.
Audacity has been written as a Desktop application. It could theoretically be run as a cloud application, but performance would probably be so slow as to be unusable due to the huge amounts of data that would be transferred between the client computer and the cloud. An alternative would be to port it to Java, but that would probably require a total rewrite of the program. If a new (not Audacity) web based audio editing application were written, the developers of that application could use code from Audacity subject to the licensing terms.