Hi Suzie! I understand your concern because I'm not a super fast cyclist, either. You've been biking to work for only two weeks. Just keep at it and let your body adjust naturally. The more you do it, the better your body will be at it, the quicker you will become. This is transportation cycling; no need for interval training, clipless pedals and whatnot.
Also, you are riding a city bike with an upright position, fenders, rack, skirt guard, internal lights, chain case, etc. These all add up to a heavier, slower but also comfortable and useful bike. This bike is not made to go fast. If you still have the urge to go faster after a few more months, consider investing in a second bike. I've been biking to work for 6 years. I have two bikes: a Dutch bike like yours (but steel/heavier) and a lighter, zippier bike with 21 gears. When I want to be faster, I ride the faster bike.
Good luck to you!
p.s. I do not consider my pussy side a bad thing.