Yes.. i should be mores specific... when exposing you picture... (you might want to test the times... a general exposure would be 10-30 seconds. When you develop the paper, those times will not change. if you get a very white negative, you might wan to try a longer exposure... so say you did 10 seconds, try 30... or vice versa.

as for an led... as has been mentioned almost any red led will probably do.. but if you have the chance to read specifications... i believe that anything around 660nm frequency would be considered safe, so if you have the opportunity to red the specifications, and have a choice, such an led, would be the best.