While performing a touch and go landing in a tailwheel equipped airplane on a turf runway, the newly tailwheel endorsed pilot encountered a sudden crosswind. The airplane's nose turned left as the airplane "bounced" back into the air. The pilot initiated a go-around and added right rudder. The airplane exited the runway and headed for an airfield wind indicator, so the pilot reduced engine power and maneuvered the airplane away from the obstruction. The airplane settled into a plowed field, nosed over, and came to rest in the inverted position. The pilot was able to egress the airplane without assistance. Damage was sustained to the airplane's firewall, both wings and struts.