Originally Posted by theNbomr
Huh? On my Samsung phone, I access Kies from any web browser.
You're talking about "Kies Air." The OP was asking about "Kies," which only runs on Windows or Mac.
OP: Install an app called Kies Air, and then you will be able to access your phone from any computer on any platform running a web browser. You can get it from the Google Play Store.
It should be noted that Kies Air is fairly 'hefty' in size for what it does, and that there are also alternative apps which provide the same (or similar) functionality, like Airdroid and 3cx. These have the benefit of being significantly smaller in size, which is handy for older phones with less memory/storage... but this shouldn't be an issue on an S4, I wouldn't have thought... Actually, come to think of it, your phone should have Kies Air pre-installed.