B.S. degree in Biochemistry is fine.
What type of professional career do you plan to pursue in the future?
If you ultimately plan to pursue two degrees (i.e., as an MD/PhD student), you should show a serious interest in research from a four-year institution. You can also conduct research at a business entity (e.g., pharmaceutical company).
It's advisable to have a minimum of at least 2 or more semesters (or at least 6 quarters or more) of serious research experience (10-15 hours/week in a lab), preferably much longer. Many students work summers and/or take gap years for the same reason. You must "know" your research well because you will be asked serious questions about your research in the MD/PhD interview, as well as in your MD/PhD essays.
