Is there a way to download videos from You Tube and Goggle?

I investigated this about a year ago and I ended up buying Applian Technologies Replay Capture Suite, which includes Replay AV which does what you want.

There might be some freeware out there that does the same job now, but at the time all the ones I found had severe limitations. Replay works, but I wouldn't say it's incredibly easy to use.

Why not just do a Google search using...

youtube video downloads

as the search term?

It will list many options for you!