Skimming the responses, I'm surprised that there aren't more calls for this. Unless this is a working vacation, you're going to want to spend your time doing rather than surfing, anyway. I've taken my original Eee to europe twice now and it's been exactly what I've wanted. WiFi is easy to get on for free, and since you're there more than a day or so, you'll probably find a place you like that you can get online for nary a penny.
While I also agree with the choruses of "go and do" both above and below, you're probably not in much danger of sitting in your room all day reading slashdot - that wasn't your question. A netbook will help with that because it doesn't facilitate long surf sessions, but does plenty (IM! Email! skype!) for communication, and most "modern" netbooks will also have plenty of space for backups of your photos.