タスクトレイ

using System;
using System.Windows.Forms;

namespace 名前空間
{
    public partial class Form1 : Form
    {
        public Form1()
        {
            InitializeComponent();
        }

        private void 隠す_Click(object sender, EventArgs e)
        {
            notifyIcon1.Visible = true;
            Visible = false;
        }

        private void notifyIcon1_Click(object sender, EventArgs e)
        {
            Visible = true;
            Activate();
            notifyIcon1.Visible = false;
        }
    }
}

以下参照
http://www.atmarkit.co.jp/fdotnet/dotnettips/392notifyicon/notifyicon.html