So you have already installed the drive and it is recognized by the system as /dev/sdb?
Now you have to create one or several partitions on it and format them. (The partitions are, sort of, virtual disk drives but, unlike Windows, Linux doesn't call them C or D or E.) You may only need one. Having several means less economical use of the disk space.
To create and format the partition(s) you could use a graphical partition manager like GParted, or the KDE partitioon manager, or the default Diskdrake (which is started from PCC -- "Configure Your Computer").
Unless you have special needs, you should probably format the partition(s) with the default ext4 filesystem -- if you aren't dual-booting Windows and Linux and some part of your Linux drive must be accessible from Windows.
Make doubly sure that any partition you format is on the right drive! If you accidentally reformat a partition on your main drive, it means that you erase everything on it.
Letting the partition manager label the partition(s) is also a good idea.
But then you come to the actual mounting. In Linux all normal partitions are mounted so that they become parts the normal Linux file hierarchy. No C, D, E or F here. You are the one that decides what they are to be known as: what the mountpoint is going to be.
The system can automatically or semi-automatically create mountpoints for removable media under /media (where "/" stands for the system-wide root folder and "media" is a subdirectory immediately under it.) If you have given a partition a label, that partition will this way be mounted as /media/<label> if you click its name in the places panel in a file manager that has a places panel or if you install a widget that handles the mounting entirely automatically. If you haven't given it a label the system will give the mountpoint a more nondescript name.
But in your case we are talking about a permanently installed drive, and that means that it should probably be mounted at boot. A line in the file /etc/fstab should tell the system where and how it should be mounted.
Now, the mountpoint is just an ordinary directory where you decide you want to see the contents of your partition. So first you must decide where you want to mount it, so that /etc/fstab can be edited and the mountpoint created, either manually (which we can help you with) or by the partition manager. (And that mountpoint should not be under /media.) What are you going to use the partition for? How large is your disk? Should it be accessible by everyone?