These are my specs for my Gateway Laptop (NV5909H) :

Approximate Battery Life Up To 2.5 Hours
Hard Drive Speed/Capacity 640GB 5400RPM
LED Backlit Display No
Optical Drive 8x DVD+/-R/RW DL
Processor Speed 2.13GHz
Processor Type Intel Core i3-330M
RAM 4GB DDR3 RAM
Screen Size 15.6 Inches
Graphics
Discrete Video Memory Yes
Expandable Video Memory Yes - Up To 4091MB
Graphics Chipset ATI Mobility Radeon HD 5650
Integrated Video Memory No
Native Screen Resolution 1600 x 900
Upgradable Video System No
Video Memory 1024MB

How well will this run Skyrim? Would it be even worth it to get it on PC?

There is a Master thread covering this subject, and new threads about the same thing are unnecessary duplicates:

http://www.gamesas.com/index.php?/topic/1254956-unofficial-will-my-pc-run-skyrim-thread-53-w-hardware-guide/page__st__80__gopid__19150712#entry19150712

Posting the same thing in two places is "Cross-posting", and the second copy is considered to more or less be SPAM (which means you should have reported your original, here, using the "Report" button, as being redundant).