[deleted] 1 points
Certainly don't get a 2nd bachelor's degree. A graduate program takes you on the road to a PhD and what this means is research. What you want is research experience and excellent reference letters. You might want to take a look at some Master's programs if it can serve this purpose; I cannot stress how important research experience is. From the website you supplied:
>Research experience carries great weight with the admissions committee and may be the single most important determining factor in assessing a candidate's qualifications for graduate school. Research experience(s) should be detailed in your statement of purpose.
It's not that the experience you get as an undergraduate will be extremely useful, it's rather that it shows initiative and that you have demonstrated that you can work in a research setting.
Have a look at some labs near you, maybe look for a job as a research assistant for 6 months to a year if you haven't done a lot of research. Or you can do something like an MRes if that's available. If you have lots of research experience, however, then you can just apply. It is very common to go from BSc/BA to PhD, at least in the sciences.