Getting into the BMC course is very easy (you already said you got admitted, didn't you?). However, since you don't have a solid science background, the first 2 years (1st and 2nd of the 6 years ) are going to be extremely difficult for you. And this is even assuming that you managed to make it through the BMC (yes, people DO repeat the BMC!).
So why am I being too negative? For one, there are some subjects in first year that lend themselves too much to the understanding of basic science subjects like physics and chemistry (for example Biophysics). Even for those who did physics and chemistry in high school, Biophysics is hard enough. You'll be at a disadvantage here. Second, a lot of subjects in higher years have Biophysics as a prerequisite. Third, and perhaps the most challenging, is that you will have to rely a lot on self-study here. Lacking a solid science foundation only compounds the situation.
But, everything is doable once the determination is there. If you find yourself slow on catching up, you could pay for some extra tuition (mostly given by fellow students) even if it is just to pass the 1st year courses [Biophysics, Molecular Bio., Organic Chemistry, Biochemisty (2nd year) etc]. Generally, with unwavering doggedness later courses can be aced w/out prior thorough knowledge in the sciences (eg Anatomy, Physiology etc).
In summary, you should look beyond the BMC and see what lies ahead. And trust me, a LOT lies.
Good luck in your endeavours.
UD-MHSC, Debrecen, Magyarország.
Pls peruse the forum before sending me PMs. All answers to your questions are there!