Hi leo08,

I have created a sample please refer this.

HTML

Default.aspx

<div>
    <asp:GridView ID="GridView1" runat="server" HeaderStyle-BackColor="green" AutoGenerateColumns="false"
        Font-Names="Arial" Font-Size="11pt" AlternatingRowStyle-BackColor="#C2D69B" AllowPaging="true">
        <Columns>
            <asp:TemplateField>
                <ItemTemplate>
                    <asp:RadioButton ID="RadioButton1" runat="server" />
                </ItemTemplate>
            </asp:TemplateField>
            <asp:BoundField DataField="ID" HeaderText="ID" />
            <asp:BoundField DataField="Name" HeaderText="Name" />
            <asp:BoundField DataField="Country" HeaderText="Country" />
        </Columns>
    </asp:GridView>
    <asp:Button ID="btngetdetails" Text="Get Selected Row" runat="server" OnClick="GetSelectedRows" />
</div>

Default2.aspx

<div>
    <asp:Button ID="Button1" Text="Back" runat="server" OnClick="Back" />
</div>

Code

Default.aspx

protected void Page_Load(object sender, EventArgs e)
{
    if (!IsPostBack)
    {
        DataTable dt = new DataTable();
        dt.Columns.AddRange(new DataColumn[3] { new DataColumn("Id"), new DataColumn("Name"), new DataColumn("Country") });
        dt.Rows.Add(1, "John Hammond", "United States");
        dt.Rows.Add(2, "Mudassar Khan", "India");
        dt.Rows.Add(3, "Suzanne Mathews", "France");
        dt.Rows.Add(4, "Robert Schidner", "Russia");
        GridView1.DataSource = dt;
        GridView1.DataBind();
    }
}

protected void GetSelectedRows(object sender, EventArgs e)
{
    DataTable dt = new DataTable();
    dt.Columns.AddRange(new DataColumn[3] { new DataColumn("ID"), new DataColumn("Name"), new DataColumn("Country") });
    foreach (GridViewRow row in GridView1.Rows)
    {
        if (row.RowType == DataControlRowType.DataRow)
        {
            RadioButton rb = (RadioButton)row.Cells[0].FindControl("RadioButton1");
            if (rb.Checked)
            {
                int id = int.Parse(row.Cells[1].Text);
                string name = row.Cells[2].Text;
                string country = row.Cells[3].Text;
                dt.Rows.Add(id, name, country);
            }
        }
    }
    Session["SelectedData"] = dt;
    Response.Redirect("~/Default2.aspx");
}

Default2.aspx

protected void Page_Load(object sender, EventArgs e)
{
    if (Session["SelectedData"] != null)
    {
        GridView gv = new GridView();
        gv.AutoGenerateColumns = true;
        gv.HeaderStyle.BackColor = Color.Green;
        gv.AlternatingRowStyle.BackColor = Color.LightGreen;
        gv.DataSource = Session["SelectedData"];
        gv.DataBind();
        form1.Controls.Add(gv);
    }
}

protected void Back(object sender, EventArgs e)
{
    Response.Redirect("~/Default.aspx");
}

Screenshot