A new and distinct cultivar of blueberry plant named ‘BB05-58GA-1’ as described and shown herein. ‘BB05-58GA-1’ is a new and distinct low chill tetraploid Southern highbush (Vaccinium) variety of complex ancestry, based largely on V. corymbosum with some genes from V. darrowii, V. angustifolium, V. tenellum and V. ashei. It is a very productive early season ripening variety with very large size, small and dry picking scar, very firm fruit, and high quality fresh market characteristics. Fruit shape is oblate, color is medium blue with medium amounts of sugar and acidity and with a very crunchy and juicy texture. It has storage ability in refrigeration of 2 to 3 weeks.