I want my friend to get fired after getting her the job
Why would you want your friend to get fired?
I can't stand her anymore
Does she work with you? Why would you want her to get fired? That's wrong on a lot of levels to wish on a friend.
Yes, she works with me and I can't stand it. She annoys me all the time when I'm just trying to finish my work and she gossips about other coworkers.
That does sound frustrating. Instead of trying to get her fired, you should talk to her about her behavior first. That way you give her a chance to change.