For the first time since the US military became an all-volunteer military force in 1973, the armed forces have more than met their recruiting goals (see this from the WashPost). The increase in the number of volunteers can be described as both an increase in the quantity supplied and an increase in supply.
Historically, there has been a strong correlation between rising unemployment and increases in "high quality" enlistments, according to Curt Gilroy, the Pentagon's director of accession policy.
As other options for young adults become less valuable or less certain, the opportunity costs of joining the military fall. The drop in opportunity costs shifts the supply curve to the right as more people volunteer at each potential salary. In economics jargon, this is an increase in the supply.
At the same time, there has been a movement upward along the new supply curve:
[Bill Carr, deputy undersecretary of defense for military personnel policy] also credited hefty enlistment bonuses for the military's success, saying 40 percent of recruits received an average bonus of $14,000, compared with $12,000 on average in 2008.
An increase in the wage rate, ceteris paribus, causes a movement along the supply curve or, in econ-speak, an increase in the quantity supplied.
In this case, both things were happening: the supply curve shifted to the right, and there was a movement upward along that new supply curve at the same time.