I would recommend against using BETWEEN with Dates as it can have some unexpected results. But in your case you can use:
WHERE ([Date] >= DATEADD(MONTH, DATEDIFF(MONTH, '19000101', GETDATE()) - 1, '19000101')
AND [Date] < DATEADD(MONTH, -1, GETDATE()))
OR ([Date] >= DATEADD(MONTH, DATEDIFF(MONTH, '19000101', GETDATE()), '19000101')
AND [Date] < GETDATE());