If you want to make page with your contact information and contact form you can use for this page template ‘Page with contact info’:
You must use plugin ‘Contact form 7’ for your contact form. You can read more about this plugin here. You need to install and activate this plugin:
And paste it in your contact page:
Now your contact page will look similar to this:
But this template – ‘Page with contact info’ have widget area therefore you can place widgets here. For example custom widgets ‘SB: About’ and ‘SB: Contact info’:
Your contact page with widgets will look similar to this (of course, if not selected layout options ‘No sidebar’):