From what you are describing, it sounds like this is a free (or "free") wireless connection that you are not paying for, so you probably don't know the speeds you should be getting. If that is not the case, feel free to correct me.
In any case, you can try to go into the settings for your wireless card and set the card to use only "g" mode. It is probably in mixed mode (b/g) at the moment. If this does not work, try it in just "b" mode. Depending on the router transmitting the wireless signal, experimenting with this could possibly help you achieve higher download speeds.
In any case, you can try to go into the settings for your wireless card and set the card to use only "g" mode. It is probably in mixed mode (b/g) at the moment. If this does not work, try it in just "b" mode. Depending on the router transmitting the wireless signal, experimenting with this could possibly help you achieve higher download speeds.