If not, HTML5 is normal HTML, not even a requirement to support IE8 will stop you using HTML5, though individual things in the various standards have different levels of support, and not all fallback gracefully or have polyfills available.
There's some starter kits that you can use that will provide the basics of an HTML5 site, like https://html5boilerplate.com/ or Bootstrap.
Why do they mean by HTML5? Semantic markup? CSS3 Animations? Audio or video maybe? Or did they just hear the buzzword and find it cool? It's your job to explain them what it is and what it implies. But technically just using the correct doctype means you are doing HTML5...
If not, HTML5 is normal HTML, not even a requirement to support IE8 will stop you using HTML5, though individual things in the various standards have different levels of support, and not all fallback gracefully or have polyfills available.
There's some starter kits that you can use that will provide the basics of an HTML5 site, like https://html5boilerplate.com/ or Bootstrap.