You will be uncomfortable. End of. After a few nights you will be so very fed up of sleeping in one position. But an array of pillows is the answer. Stack up about three pillows behind you. Add a V-shape pillow on top of that behind your back. Put a C-shape pillow on your tummy and tuck the ends under your sides, so that your arms rest on the C of the pillow. This will support your boobs and give your arms somewhere to rest. Trust me it works.
Items needed - 3 normal pillows, couple small ones for filling in, V-shape and C-shape.