A simple way is to make a copy of the table's structure under a new name,
which you can do by copying and pasting the table in the database window.
Decide what combination of fields should be unique in the table, e.g. it
might be Firstname, LastName and AddressLine1. In the empty table make them
its primary key in design view by selecting the fields (use Ctrl-Click just
as you would when selecting multiple files in a folder), and then right click
and select primary key from the shortcut menu.
If you now create an Append query to append all rows from your existing
table to the empty one, when you run this query only one of each row where
the primary key values are the same will be appended. You'll get a message
telling you how any will be rejected.
Once you are satisfied that the new table holds the correct records you can
delete the original one and rename the new one to the name of the original.