First of all, congrats for your choice ;)
I'm doing bioinformatics right now and is important to have a minimum knowledge on programming, even for running someone's else software. You can be a basic bioinformatician and perform analysis using available software (it's okay and they're necessary too because sometimes it's hard to do it and to interpret the results) or you can be develope your own software and analysis. In this case, you really have to know how to program.
It's weird that your university doesn't teach you basic programming, maybe it's not specified but you will do. If not, maybe you should think about going to another university.
In bioinformatics the most used programming languages are Python and R (most for the statistics part), and you should also be used to work with the Linux command line. There's a lot of online courses on coursera to learn this.
https://www.coursera.org/learn/python (I did this one when I started)
Enjoy the journey! Programming could be really frustrating sometimes, but hold on! And the end it's really fulfilling. Hope it helped :)