Sorry if this is the wrong place for this I am new to the forums.

Do I have any chance of my pc running skyrim?

http://developer.novell.com/yes/130778.htm

If not how can I get it to be if I can at all?

CPU seems decent enough

1GB of RAM will limit you, I would make it atleast 2GB, preferably 3GB, or 4GB if you have installed a 64bit OS.

It also has an Nvidia Geforce 6150, really not meant for games, and while the game should startup, it really wouldnt be playable on even low settings. You could get a new graphics card if you want, assuming you have a decent enough power supply in there.

Ah, it says its a micro tower as well....that will really limit your choices on video cards too.

Do you reckon 2 of these http://www.pcworld.co.uk/gbuk/integral-pc3-10600-ddr3-1333-dimm-ram-memory-module-2gb-07857720-pdt.html found thanks to this http://www.crucial.com/store/mpartspecs.aspx?mtbpoid=6834EB65A5CA7304.

and is there a graphics card you would recommend?

We have a pinned thread that is open just for this:
http://www.gamesas.com/topic/1350063-unofficial-will-my-pc-run-skyrim-thread-58-w-hardware-guide/