To send and receive e-mail with Inbox and view Web sites with Pocket Internet Explorer, set up a remote connection using a modem card or an Ethernet/LAN card.
To connect to the Internet with a modem card, you need a phone line, a dial-up Internet Service Provider, and an optional Single-slot or Dual-slot PC Card Expansion Pack or CompactFlash (CF) Card Expansion Pack.
*Insert your modem card
*From the Start menu, tap Settings
*Tap the Connections tab->Connections Icon-->Internet Settings-->Modify-->New
*Enter a name for the connection, select the modem type, and select the correct baud rate for that modem.
I have shared the basic steps..which I refereed using the reference guide for the model that you have specified from this website
.This you can easily get my typing "reference guide for Compaq iPAQ H3850 Pocket PC" in Google...and the first link lets you download the PDF..Follow the steps carefully and connect to the internet.To check for the internet speed you can use Scanmyspeed.com
which gives you accurate speed results.