Caveat emptor: I don't own one of these, so the following info. is based on a quick skim through the specs.
There are two types of wireless available for the 1945:
1. Bluetooth
2. 802.11x wireless internet (with an 802.11x SD expansion card, which you need to buy separately)
I'm guessing you are referring to #2 since you seem familliar with #1 based on the original post.
#2 basically lets you connect to a wireless internet where one exists -- for example, at home if you have a wireless router/access point, or at work if you have a wireless LAN, or at Starbucks, McDonalds, airports and a number of other places that have wireless internet access.
What you need is a SD expansion card for 802.11b
like this one. If you setup a wireless LAN at home, it connects to your DSL or cable connection, and no additional fee. Places like Starbucks and airports charge fees (need to subscriibe to the service providers, which are fragmented, non-interoperable, and a total mess right now).
But this does not provide wireless access everywhere, as a cell-phone would.
AFAIK, the only way to get access everywhere would be to connect your PDA to a cell phone via
a cable like this (if your phone supports data communication) and use that as a modem.
Or you could load up the pages beforehand as Frank suggested.
EDIT: Forgot to mention, throughput you get on a wireless LAN (802.11b) will be several mega bits per second, and will be limited by the speed of your DSL or cable internet connection. So, it's much faster than a dial-up modem (but it does require DSL or cable internet access)