Run an Insert for each recordset iteration

I am trying to create a stored procedure, which will iterate through each row/record of a SQL statement and for each iteration, it will insert all the records from a table into another.

I am from an Access background and I'm trying to migrate this code over to SQL. In Access VBA, the code looks something like below.

    strSQL = "SELECT DISTINCT Field1, Field2 " _
            & "FROM MyTable " _
            & "WHERE ((([Field5]) Is Null Or (tblRXM.[Field7])<>'Unknown'));"


    Set rst = db.OpenRecordset(strSQL, dbOpenSnapshot)
    With rst
        If .RecordCount > 0 Then
            .MoveFirst
            Do While Not .EOF
                db.Execute "MyQuery", dbFailOnError
                .MoveNext
            Loop
        End If
        .Close
    End With
    Set rst = Nothing

I hope that makes sense. I need to be able to do that exact thing in a SQL stored procedure. I'm just starting to get my feet wet with this, so any assistance that you could provide, I'd appreciate. Thanks.