In your function, you are modifying the contents of the hashtable so there is no need to use $global unless your function (or a function caller between your function and global scope) happens to have local variables $Var1 and $Var2 (BTW aren't you missing $). If this is all your own code then I'd say leave it as is. However, if you code allows other folks' code to call your function, then I would use the $global:Var1 specifier to make sure you're accessing the global variable and not inadvertently accessing a variable of the same name within a function that is calling your function.
Another thing to know about dynamic scoping in PowerShell is that when you assign a value to variable in a function and that variable happens to be a global e.g.:
$someGlobal = 7
function foo { $someGlobal = 42; $someGlobal }
foo
$someGlobal
PowerShell will do a "copy-on-write" operation on the variable $someGlobal within the function. If your intent was to really modify the global then you would use the $global: specifier:
$someGlobal = 7
function foo { $global:someGlobal = 42; $someGlobal }
foo
$someGlobal