I had a guy, who was real cause I met him after, who added me on Facebook just like that. He was like I said, real. However that doesn't mean to let your guard down in case this is a fake profile. Take precautions, don't send any inappropriate pictures, DON'T send money..I don't care what she says as to why she needs it, don't give out any information before confirming she is who she says.
As long as you protect yourself and feel comfortable with it, it's okay to make a new friend.