If I understand you correctly, you already have a program called Logo Design Studio and you wish to update it to the latest version.
If that is correct, when Logo Design Studio is running you can go to the Application menu (next to the Apple Menu) and select "About" (which should be the first command available). This will tell you who made Logo Design Studio, and probably also where their web site is (if not, google it).
Once you find their web site, you can determine if you need an update, and what's available.