RAID can accomplish 2 different things that may or may not be compatible:
1. a RAID 0 configuration uses 2 disks and essentially splits the data across the 2 drives which should in theory improve the access times for large files. In practice I'm skeptical that you would see much difference in a personal computer environment. This big risk with this is that a failure on 1 drive can make the data on both drives unavailable.
2. RAID 1 can also be set up with 2 disks. In this configuration, the disks are copies of each other - it is used to ensure higher availability of data. If 1 disk fails, you simply replace it and rebuild and you get your data redundancy back. Generally the worst case is you lose just a file or 2 if the failure happens during a write operation (low risk there). You can get higher read and write performance if you put the disks on separate controllers, but again in a personal environment I'm not convinced you will see a massive difference.
For either of these scenarios, you need an additional device called a RAID controller. Sometimes higher end PC's come with them, but usually not. In Canada, I can get a controller card for around $70 - approx EUR50.
You didn't say whether the existing 320GB drive in the computer is your system boot disk - I assume it is. If that is the case, you will need to expect to do a complete OS re-install because the RAID conversion will wipe the disks.