What kind of connections are on the monitor. If it has HDMI you can get the digital AV adapter which is 30 pin/lighting connector to HDMI (with a second whichever connection for plugging into power if needed).
There is also a 30 pin to VGA but i'm not sure about lighting to VGA
if it is DVI you would have to find a connector from that to HDMI but the quality might suck