Can I program this microcontroller http://www.atmel.com/dyn/resources/prod_documents/doc0368.pdf (AT89C205).
With my Arduino UNO the same way I program an Atmega328 on breadboard, like in this video ( 11:47 ):
Can I just connect the rx/tx/reset/gnd/+5v chrystal etc. the same way and will it work then?
I guess I need to burn the bootloader first...
I don't know this processor, but I'm playing around with programming an ATTINY2313 using an Arduino UNO as ISP.
I guess you need a bootloader only if you want an mcu working on an Arduino board. If you run the processor on a breadboard (like I do with attiny) you don't need a bootloader at all. You simply upload the program to the chip and let it run.
Probably not:
"Compatible with MCS®-51Products"
Your video is for the 8-bit AVR products, so the download process may be different.
So I totally can't program this AVR with my Arduino UNO? I'm microcontroller newbie... 
AT89C205 is not considered an AVR by Atmel.
Go to Atmel.com, put your mouse on "products", you will see "Atmel AVR..." and "8051 architecture" are different prduct lines.
Stijntjhe:
Can I just connect the rx/tx/reset/gnd/+5v chrystal etc. the same way and will it work then?
No...
Thanks a lot! Now i'm searching for another AVR 
Newark.com has ATMega328s on sale, $2 less than normal price. I ordered a bunch for future for future projects.
I'm doing a design right now with ATMega1284s, tons more memory, dual serial ports, extra IO ports, and available in DIP format so it can be used like a big duemilanove.
Waiting for parts to arrive, ordered enough for 10 boards. Will build a couple, see how they work, and then go for more.