What for?
Sounds like some disaster response, some scientific, and some commercial uses.
I think there are other non-ESA European (and national) agencies that work on military use of space. For example, there's apparently an "EU Satellite Centre" based in Spain that is concerned with military use of space (and is not part of ESA).
https://en.wikipedia.org/wiki/European_Union_Satellite_Centr...
I do imagine that military users can probably buy or access data from ESA sources on the same terms as civilian users and that they probably do so.
https://en.wikipedia.org/wiki/2012_National_Reconnaissance_O...