The Giants have the 13th pick in the draft. According to ESPN:
Day 1 of the draft will be June 10 at 7 p.m. ET and include the first round (37 picks). Rounds 2-5 (123 picks) will begin a 5 p.m. the following day.
There are lots of places to get information about draft prospects and whatnot. I'm not really interested in players until they become Giants, mostly because I have no scouting skills. One guy is as good as the next, until they aren't! I'll let the experts do the picking.