It would be helpful if you linked a diary to your question - but you've said you're growing an autoflower so yes, all perfectly normal! Autos will start flowering by week 4 or 5 and then finish (depending on the strain) after 4 - 10 weeks of flowering. I'm a bit concerned that you said you had transplanted her... autos HATE being transplanted and should be germinated in the pot they're going to finish in... but don't give up... they are a fairly tough bugger, especially when in flower.
Enjoy the grow - and link a diary for the next question!