The contact form solution pack will work within Dreamweaver or any other web page design program including text editors.
the Description on the page you link to says:
Contact Form Solution Pack
Add a pre-built PHP contact form to your site; spam protection built in with four levels of security, including Captcha.
that is exactly what the contact form solution pack is, A prebuilt contact form. Once you modify the WA_Globals file with the correct information for your site, the contact form that is included with the solution pack will send an email to to the address you specify containing the information in the form.
The contact form solution pack was created using Universal Email:
The Universal Email support page has tutorials for using Universal Email to send form information:
If you have further questions, you should contact our sales department at firstname.lastname@example.org