How can my story be improved?

The girl walked solemnly down Times Square. She gazed around at the empty tables in the center, the cars lying deserted, with their doors wide open, as if the passengers had been fleeing something. Windows were broken in the buildings, and it was silent. The girl raised her face to the darkening sky and closed her eyes; listening to the wind whistle through what had once been the life of the city.

She sat in the middle of the street, the only sign of life for miles. The girl stretched out on her back, and smirked at the reality of it all. Times Square would never be busy again. Nowhere would. For all she knew, she was the last one left. Was it even worth living for? She may as well become one of them, instead of being alone.

Sighing, she kicked the Styrofoam cup that had blown towards her away. After a few more moments of pondering, she rose and began to search for dinner. She adjusted the gun at her hip, making sure it was ready for a split moment鈥檚 notice. She looked around, trying to decide where she would be most likely to find food safely. Her eyes settled on a restaurant. She shook her head, and headed for the dumpster next to it. After six months of living in this world, in a place like Times Square, she was not likely to find food in an actual restaurant. Somehow the dumps seem to preserve the food better than the actual restaurant does.

Eating from the garbage may seem disgusting, but after being chased by what appears to be a flesh eating monster for half a year, you take what you can to survive. It bothered the girl at first, but she has gotten over the initial grossness of it all. Wiping her mouth on a random shirt in the dump, she stood and checked her gun again. She slung her backpack around and opened it. She counted something, glanced around, and pulled a notebook out of her pack. She quickly scribbled something into it, and closed it. As she was closing it, she lost her grip and dropped it. Swearing, she leaned down and picked it up. The cover said, neatly printed, 鈥楶roperty of Melissa Lucas.鈥?

Melissa Lucas is not the actual name of the girl. It鈥檚 the name of her sister. Melissa had been traveling with her older sister, Percy, for a few weeks. Melissa had lasted for eight weeks until during an encounter, she was bitten. Melissa and Percy got away, but Melissa had to tell Percy what happened before it was too late. While in a house in Baltimore, Melissa quickly told Percy the truth, then immediately ordered Percy to shoot her or she鈥檇 do it herself. Percy promptly refused, insisting that there could be a cure. Melissa called her an idiot, and told her she didn鈥檛 have long. After ten minutes of arguing, Percy finally agreed through watering eyes. Melissa had two requests of Percy before she died; stay alive, and keep writing in the journal. When this was over, detailed notes would be necessary to ensure it doesn鈥檛 happen again.

Percy closed her eyes shut as tight as she could as she pulled the trigger, heard a gasp and gunshot, and opened her eyes to find her only other companion dead in front of her. Percy didn鈥檛 cry. She moved Melissa behind a closed door, and locked it. She placed several obstacles in front of the door to keep the zombies from getting in to Melissa鈥檚 body. Before moving on to a new safe house, Percy paused. She was literally leaving her sister behind. Shaking her head and pulling her hair up, Percy adjusted her belt and walked to her destination: New York.How can my story be improved?
Very interesting story you have going there, but zombies are just incredibly stereotypical. I too am writing my own apocalyptic-based novel, it is about how water is becoming a rare resource in the world, and how eventually humanity destroyed itself over it, in the form of nuclear destruction. What you have written here defiantly caught my interest after reading the 1st paragraph. The only thing I suggest is you don't refer to them as zombies. It feels incredibly stereotypical, and you should rethink what these monsters are exactly. Create something new, like for example in I Am Legend which also takes place in NY, the monsters aren't really zombies although they act like it. They can't go out in the sunlight for long, they sleep during the day, they look less like green corpses and more like humans without skin. And they have some degree of intelligence as seen in the movie when they have mutated dogs that hunt alongside them. In other words, make the monsters in your novel more interesting. Describe them and give them special weaknesses and setbacks as your character discovers them in your novel. The amount of things you can put into the story is unlimited. There is no boundary that stops you from getting creative. Just think about this as you write on with your book. Best of wishes ;)
SHOW DON'T TELL.

the best advise i can give you. there is not a single line of dialogue in your story, thus it is pretty boring. try and change the passive narration into active dialogue.How can my story be improved?
Percy started crying while writing and tears fell into the notebook as she closed it. She got up and whiped the tears off her cheek. As she walked away from the dumpster she heard a noise and swiftly grabbed her gun and looked around. She heard a voice "hello?". Percy walked slowly into the alleyway, gun in hand and asked "whos there". A young looking boy holding a bat came out of the alley way. "who are you?" Asked percy. "steve and you?" Said the boy. "percy" said percy. After a long conversation percy agreed to travel with steve. Percy was glad to have found another survivor....... To be continied.........