The military will likely be employed like this:

They will go in and assess where the people are, how many and the magnitude of the need

They will set up or repair airfields, ports and helicopter landing zones in remote areas

They will set up camps with shelter, water, food and medical care

Engineer and medical units will provide the majority of the aid

Military Police may be used for security and population control

They will integrate with and assist local authorities, finding the local experts on the infrastructure and work to get it all working again

Distribution is key, and all of the population in need may not be very accessible, people will either go to the help or the help will come to them. Consolidation will be necessary in many cases for logistical reasons.

Immediate needs will be addressed first, then they will focus on a sustained effort, then on rebuilding the necessary infrastructure (water treatment, hospitals, power, food)