5 week old wake windows

So my 5 week old barely has wake windows during the day. The first wake window in the morning is probably the longest..like 45 minutes from the time she wakes up until she goes back to sleep. She’ll sleep for 2-3 hours then her wake windows for the rest of the day will be more like 30 minutes. She’ll pretty much get changed, feed, then go back to sleep. Is this normal? She’s gaining weight steadily and has had healthy checks when we go to the pediatrician she just seems so sleepy all the time!