Update: I have just been told that the per capita has been increased to $1975 (presumably the Volag/resettlement agency share went up with it).
I just came across this handy breakdown of which social services refugees can access immediately upon arrival in the US. Note that it does not show food stamps or subsidized housing (both available to refugees for years), or the cost of educating the children.
At the top you will see that each refugee gets $1850 [now $1975–ed] as a one time payment from the US Dept. of State (a family of 6 would receive $11,100). However, the contracting (non-profit) agency keeps about $750 of each refugee’s allotment for its own overhead.
But, that is not all the contractor receives, most get tens of thousands of federal dollars to run myriad other programs through their offices including English language lessons, employment counseling, and even are granted federal dollars to develop community gardens for their refugee clients.
See also: Jeff Sessions: 90% of Middle Eastern refugees on welfare, here.
All non-profit groups are required to file Form 990’s with the IRS and must make them available to anyone who asks. You should not be told that you must do a Freedom of Information Act request to get their financials!
The diagram can be seen more clearly here in enlarged form: http://www.usccb.org/about/resettlement-services/upload/Refugee-Assistance-2.pdf