If you are using template field column.
<asp:GridView>
<Columns>
<TemplateField>
<ItemTemplate>
><asp:LinkButton ID="LinkButton1" runat="server" CommandName="test">Redirect</asp:LinkButton>
</ItemTemplate>
</TemplateField>
</Columns>
</GridView>
In Gridview rowcommand event based
If e.CommandName = "test" Then
Me.Response.Redirect("NextPage.aspx?str="Value")
On page load event of NextPage
Based on the query string code to add new row to grid.