Hi Penguinette,
You will get faster. I started running in April this year - very slow, and not pretty to watch but... I did a couple of races, and improved each time. Not super speedy, but there is an improvement there.
Now it is darker / colder I have started going to the gym in my lunch break to knock out 3 miles - it had been taking me about 30 minutes to do 3 miles. Yesterday I got it to 28.26 minutes for 3 miles - I was so chuffed I told all my colleagues (who think I am crackers anyway!).
So, hang in there. The repetition of running over the months will pay off eventually - just take your time, be patient, and one day you will notice you are running stronger, faster, more smoothly than you did.
Well done!
go-slow