No, your "motherboard" does not, and never will support GDDR5. GDDR ram is specificially designed for graphics card applications.
Your motherboard will support either DDR3 or DDR4 depending on the model of i3 you have.
The question I assume you meant to ask is, will my motherboard support a graphics card that has GDDR5 ram on it? then the answer is yes, provided the motherboard has a suitable PCI-e slot, which you have already confirmed it as having a PCI-e x16 slot.
You may also have to consider if your PSU has sufficient wattage and connections to power your new graphics card and the rest of your system combined.