This can be done a couple of ways. One is a parameter query, which will ask you for the first date and then give you all records up to today.
Hint: Don't use Date as a field name. It conflicts with the Date function, which gives today's date. Rename the field to something like TransactionDate.
OK, in the query, you have [Name] and [TransactionDate].
In the criteria row below TransactionDate, enter this expression:
Between [Starting Date] And Date()
Save the query and run it. You'll get a popup asking you for Starting Date. Enter the beginning date in the range, press Enter, and you'll have your records.
Denis