M., first you are doing a GREAT thing by breastfeeding your baby. You are giving her a gift of health that will last the rest of her life!
Second, I have to say the advice to give her a bottle first is a huge mistake. Bottles work very differently than the breast - milk comes immediately, whereas at the breast, they have to suck to initiate a letdown of milk. If you did what the woman suggested, you would just make it worse, because your daughter would never want to suck to initiate the letdown - she would become used to milk immediately.
I do agree that what's going on here is the baby wants milk right away, and doesn't want to suck to get the letdown. However, you are doing everything right! If she is having the right amount of wet & poopy diapers, then she is getting plenty of milk and doing great.
I don't think you need to change much. Your breasts will learn to respond to her sucking and they will let down more quickly. She will also learn to suck to get the initial let down.
You should try feeding her before she gets very hungry. I would just try to get her on the breast at the very first sign of hunger.
Please avoid introducing a bottle right away. I did because my daughter wasn't gaining weight, but she had terrible nipple confusion and rejected the breast for a while. It was one of the worst experiences of my life - I was crying all the time, depressed, but I had to keep trying to get her back to the breast. Eventually it worked but it was a nightmare for weeks.
Have you been to any La Leche League meetings? If not, you should consider it - they are groups of nursing moms who can help out because they've been there. Also, the LLL leaders will come visit you at no charge. You can find a local group here: http://www.lllusa.org/groups.php
Also, a FANTASTIC resource is http://kellymom.com/ - you will find anything you need to know about breastfeeding here!
Finally, you should consider joining a yahoo group for breastfeeding. You can ask questions of hundreds of other nursing moms. A good one is http://health.groups.yahoo.com/group/breastfeeding/
Hope this helps and feel free to email me or send me a message!