
Yes, it is normal. A season will last around three weeks. You have the first stage now, then the blood will go and that is usually when she is most interesting to other dogs. A bitch is usually mated from around day nine to day fourteen, although this can vary. She will still be giving off scent until around day 21.
Don't let her off the lead during this period, I usually just walk mine around the block for a short walk, but there are not many dogs around where I live. If you have a large garden then you can keep her in for the duration to be on the safe side.
At the end of the season, give her back end a bath before taking her out.