Hooking up my G4 Mac Mini to the TV

Hello,
I have a G4 Mac Mini that I would like to hook up to my TV.

I want to be able to surf the internet on the TV and also watch TV shows I have downloaded from iTunes.

I need to update my OS from Panther to Leopard and I was also thinking of getting more memory.

How much memory do you think I will need? Is my plan possible on such an old mini?

Here are the specs for the Mac Mini currently:

Machine Model: Mac mini
CPU Type: PowerPC G4 (1.2)
Number Of CPUs: 1
CPU Speed: 1.42 GHz
L2 Cache (per CPU): 512 KB
Memory: 512 MB
Bus Speed: 167 MHz
Boot ROM Version: 4.8.9f1


Thanks!