I have installed Ubuntu by manually specifying the partitions /, /swap & /home. I am new to Ubuntu so I would like to verify whether these partitions are working properly.
A gui based tool is also an option.
GParted provides a graphical view of devices and partitions. It might already be installed on your system:
If you're using Unity - type GParted in Dash should find it
If it's not installed you may install it using Software Center