This question has been answered quite thoroughly, but I'd like to add an answer that I hope is as simplified as possible, making the meaning of !! as simple to grasp as can be.
Because JavaScript has what are called "truthy" and "falsy" values, there are expressions that when evaluated in other expressions will result in a true or false condition, even though the value or expression being examined is not actually true or false.
For instance:
if (document.getElementById('myElement')) {
// Code block
}
If that element does in fact exist, the expression will evaluate as true, and the code block will be executed.
However:
if (document.getElementById('myElement') == true) {
// Code block
}
...will not result in a true condition, and the code block will not be executed, even if the element does exist.
Why? Because document.getElementById() is a "truthy" expression that will evaluate as true in this if() statement, but it is not an actual Boolean value of true.
The double "not" in this case is quite simple. It is simply two nots back to back.
The first one simply "inverts" the truthy or falsy value, resulting in an actual Boolean type, and then the second one "inverts" it back again to its original state, but now in an actual Boolean value. That way you have consistency:
if (!!document.getElementById('myElement')) {}
and
if (!!document.getElementById('myElement') == true) {}
will both return true, as expected.