no. um, hold on, this gets a little complicated...
The Fantastic Four series that had been running since 1962 got relaunched a few years ago with a new #1. In 2002, writer Mark waid began writing the title with #60. When that series got up to issue #70, they switched back to the OLD numbering system in celebration of the fact that they were really at Fantastic Four #500. So technicaly, Mark Waid wrote Fantastic Four #60-70, then #500-524. Confusing and annoying, I know, just go with it.
Anyway, Waid's run was considered so good, that the trade paperback which collects the begining of his run, the one you just bought, which collects issue #60-66 is considered Fantastic Four vol 1 when it was collected into trades, because it's viewed as an ideal starting point for new readers. Fantastic Four vol 2 is 67-502, FF vol 3 is FF503-509, etc. etc. and so on. So you've purchased volume 1, the story immediately contues in volume 2, then volume 3, etc.
Currently the series is on #539, but if you want to read up to that point chronologicly (not necessary, but you may want to) so you can jump onto the monthly series, you should read Fantastic Four vol 1-7, or so