Integrated GPU's run really rough with FFXIV. That your card is a little over 1GB is good, but the integrated card is trying to load everything at once (your OS, FFXIV, your web browser, etc). The biggest problem with integrated cards isn't it's raw potential, but it's bus speeds. The bus on the card simply isn't fast enough to render FFXIV and have any kind of quality.

Has your computer ever run FFXIV above 3-5 fps? Is this a new issue that has crept up recently?