Lately, IT staffs have become leaner and leaner with staffer usually wearing many hats. Unless there is a large enterprise, staffers are having to work on servers, switches, desktop support, etc. Due to this, there is rarely room in the team for rookies. People generally don’t have the manpower to support having someone with little to no experience – this would also require having someone on the team to train them.
I would suggest taking the ‘old-school’ approach and start looking for a helpdesk or desktop support position. This will give you a foot in the door and then you can work on the side with the server team, network team, etc to learn more about what and how things are done. It also gives you the opportunity to learn the environment. This could lead to internal transfer/promotion.