Most $349 notebook PC models available for purchase on the market have 7 inch screens and a hard drive capacity of just 2 to 4 GB. If you want to buy a new full-sized notebook computer with at least an 80 GB hard drive then you're going to have to boost your budget to at least $399. I have seen a new notebook PC go for $349 but it was only on a couple of occassions. Ebay and other computer auctions are places you could buy a notebook PC for $349 in a refurbished condition. Keep in mind that $349 notebook PCs sold on auction sites are most often going to be heavily used with the actual condition dependent on how well the seller took care of the notebook and whether any refurbishment takes place before shipping.
Just so you're aware, there are tons of new and refurbished desktop computers on the market from $199 to $349. Such desktops are perfectly fine for surfing the internet safely, receiving and sending email, listening to and burning CDs, watching DVDs, and downloading