Don't touch it - It will probably stick to skin and tear.
Use cotton gloves?
I'd try putting it on a sheet of tissue paper and use something the appropriate size to create the initial hemisphere ended tube, pressing it in place with the tissue to minimise dragging it directly.
Can you use a straw or tube rather than a stick for the "handle"?
You could possibly squeeze in the open ends of the shape formed in the first stage and bind them to the straw with thread, then very gently inflate the gold leaf bubble to get the correct rounded shape???
An external mould shape using two of the half spheres could help & prevent it bursting??
(I have a pack of gold leaf I picked up cheap as "damaged" in a craft shop a couple of years ago, but I've not done anything with it yet. The "damage" was a wrinkle
gold price in the first sheet where someone had touched it.).