Will Nikon AF-S "G" lenses autofocus on D3xxx bodies?

When I checked the site of Nikon for D3300 camera, I found following description

Autofocus is available with AF-S and AF-I lenses; Autofocus is not
available with other type G and D lenses, AF lenses (IX NIKKOR and
lenses for the F3AF are not supported) and AI-P lenses; Non-CPU lenses
can be used in mode M but the camera exposure meter will not function
The electronic rangefinder can be used with lenses that have a maximum
aperture of f/5.6 or faster

Source

I am confused with what it means. Does it mean that auto-focus is not supported for following version (for example)

• Nikon 18-200mm F/3.5-5.6G IF-ED AF-S VR II DX

because it has “G” mentioned in aperture? I am confused because it says that it is auto focus.

I usually choose focal point to focus on subject while taking pictures but I use auto while shooting videos. As now I am planning to shoot more videos so do I have to worry about these properties?