dkorovkin,
As of today, there are unfortunately no plan that I know of to implement PXE in Galileo's UEFI firmware. On the other hand the EDKII implementation is now open-source (since 0.9.0) and EDKII should provide a generic framework for PXE so maybe you could engage with the EDKII community? Unless iPXE proves to be easier to implement - can't tell.