This is a model of a lithium atom. how likely is it that this atom would want to bond with another atom to fill it's outer shell?

I'd say extremely likely. Lithium is in group 1 - they're all very reactive. Although it's the least reactive of the group, it's still very reaction and therefore very likely to react to have a full outer shell. It would bond through ionic bonding, transfer its outer electron (very easily). 

Hope this helps

Your question is not clear but if you can explain yourself i would be glad to .  just trying to : ))