Should be able to play it on standard settings from the looks of your Specs. Make sure you have the latest Catalyst Control Center and Drivers from the AMD website. Adjust your graphical settings to "Use application Settings" on there. On the FFXIV Config set your graphical settings to standard. Make sure that Depth of Field and Ambient Occlusion are turned off as it is too much of a resource hog.
There will still be slight stuttering in high traffic areas due to server lag etc. But if you are really worried, after making sure your video drivers and settings are set properly. Download the FFXIV Benchmark, if it gets a poor score, then the computer doesn't have enough power.