How soon is it okay to quit your job?

After being unemployed for almost 4 months, I got hired from a company. I've been working here for about a little more than a month. The thing is the pay is shit, the cost of living is high, and it just isn't that interesting. I'm bored at work for most of the day there. Even though I am a "project engineer" there, I seem more like a business person/accountant (which might be because it is project management). None of my engineering even applies and I really miss applying that to things. I tried negotiating for more pay but they won't budge saying it's competitive with other companies here (even though I have seen what other companies pay out) , I needed an internship or more experience and just tell me money comes with time in a career.

I only took this job since I screwed up during college and couldn't land a co-op or anything else during the summer (or simply didn't try hard enough). The only experience I had was being a project leader of a engineering club and an engineering assistant at an engineering lab.

Everyone here is nice and all and the benefits are pretty standard, but I just don't know what to do. I'm scared to quit cause I don't know if this short time here would look good on a resume and looking for a job isn't easy.

TL;DR Got a job after months of unemployment. Underpaid, high costs of living. Won't raise or negotiate a better salary. Work is boring and unsatisfying. Scared that short time period would look bad on resume for other jobs.