Hello 'Catwoman',
Firstly 'Andybr1g' is wrong
and yes you understand correctly.
I have the same laptop model, so their was no need to research it, although i have researched you Television, Nice by the way, and it is PC compatible, and so is your laptop.
To view PC input on your Television, you will need either a HDMi cable, or the cheaper alternative a SVGA/VGA Cable,
The following link is from amazon and they start at about £4.00, which is fairly reasonable, considering some have free delivery,
Hope everything works properly, and i have previously used amazon before and they have proved to be good,
http://www.amazon.co.uk/s/ref=nb_ss__0_4?url=search-alias%3Daps&field-keywords=pc+input+cable&x=0&y=0&sprefix=Pc+i
If you live in the UK like me, you could try Argos, their abit more expensive though, cheapest £14.79, Cat No: 675/5555
Also their the some, Cables on amazon to make your sound come though the television, click the link below
http://www.amazon.co.uk/s/ref=nb_ss_e?url=search-alias%3Delectronics&field-keywords=Stereo+Male+to+RCA+Male+Y-Cable&x=0&y=0
Anymore questions don't hesitate to ask,
- Daan