I recently took a drug test.
The next day I received an email that contained new hire paper work and a job offer letter.
I am wondering - does this mean that I got the job?
Nicole, read the job offer letter carefully. In many jurisdictions it is common for the company to leave exit options for themselves if new information arises or the information changes. Nothing is official until all of the paperwork is done, so while this doesn't mean you have a job yet you have the job offer and the company expects to hire you.
But, in the usual sense, if you have a "new hire" packet then the company regards you as a person who is in the process of joining.
The next day I received a email that was new hire paper work and a job offer letter. Wondering does this mean i got the job.
Usually a "job offer letter" means that they are offering you the job. If the offer has no conditions, then you will have the job once you accept.
Read it, and see what it says and you'll have your answer. Sometimes the wording will say "pending a successful drug test" or such. In that case, the offer is conditional and you don't have the job yet.