You might have trouble just copying and pasting the form html as you would have your own actions for the form which would need to be brought into SS. Making forms with SS is fairly simple. Tutorial 3 covers the form functionality. If you want an even easier way check out the UserForms modules which allows you to drag + drop in the CMS to construct your form without any PHP coding.
The hardest thing will be if you have specific styles / html which you use for form layout. Your styles will probably need to be changed to fit the HTML the form templates generate - unless you want to override those as well which is a bit tricky.