Change your current code from what you have to this:
The listview will normally default to showing and enabling horizontal and verticle scroll bars... but you have to fill the list beyond it's display capacity to trigger their use.
private void Form1_Load(object sender, EventArgs e)
listView1.Scrollable = true;
listView1.View = View.Details;
for (int i=0; i<250; i++)
ListViewItem lvi = new ListViewItem("Adam");
Best of luck!