If your 32-bit Internet applications do not automatically invoke your
Windows 95 Dialer, here is a way I found to enable this feature.

First, bring up an internet application such as Netscape or Internet Explorer.
Next, manually dial into your internet provider by double-clicking your connection icon.
Once connected, go to the Control Panel and double-click on the Internet icon.
Once the window open, uncheck the checkbox titled "Dial whenever an Internet Connection is needed".
Click the check box again and make sure there is a check in the checkbox.
Next, click the APPLY button.
Finally , click the OK button.
Once you do this, close your internet application and disconnect from your internet provider.
Re-start your Internet application and the Windows 95 dialer should start up.
NOTE: From my experience, all Internet applications will be effected and will automatically start the Windows 95 dialer.