The student pilot was conducting a solo navigation exercise. On arrival in the Goulburn circuit area he elected to land on runway 04, having observed that the wind was northerly at about 10-15 kts. Shortly after turning onto base leg the pilot realised that the wind was gusting. During the landing flare the aircraft was struck by a strong wind gust which caused it to be displaced from the runway alignment. While the pilot was attempting to re-align the aircraft with the runway a second wind gust caused the left wing to drop and strike the runway grass verge. The pilot recovered control of the aircraft and completed the landing without further difficulty. Significant factor 1. The pilot did not conduct a go-around following the first upset.