SATA II defined a theoretical max transfer rate of 3Gbps.
SATA III increased that to 6Gbps.
Your board is SATA II (3Gbps)
You can connect a SATA III disk to a SATA II controller, although it will work at the SATA II controller speed.
The cables are the same as far as the physical interface size and shape are concerned, but some poor 3G cables might limit throughput to 3G even if you have a SATA III 6G drive and SATA III controller. SATA III compliant cables will have been certified to 6Gbps - but most decent SATA II (2.6) cables will work at the higher data rate anyway.
In your case, this isn't a problem (SATA II board).
SD