
Every tree has to start somewhere.
Privet have paired branches, so it's best to take of one of the branches to help with the structure of the tree later one. You can find some guides to this using the wiki or search.
If you have some aluminium wire it would also be a good time to wire in some shape and movement into the trunk. Putting in some bends will shorten the trunk and make it look more impressive later on. But privets are fast growing and you have to be careful not to let the wire cut into the bark as it grows.
Fast growing is good as you can get the trunk to thicken up, play around tip pruning and branch selection.
Have fun with it, keep it alive (we all kill plants

) and think about joining a club for some extra help.
Patience is often a surprise.