There are several careers you can go in to, some of which will be listed on the university website often under the course info. I did biovet science as my first degree.
People on my course went on to do the following:
Lab work, one in nationwide labs dealing with animal samples sent from vets, the other in a lab that deals with textiles etc
Teaching, most went on to do PGCE's and became teachers, biology/chemistry mostly
Veterinary physiotherapy - two of them went on to do a masters in physio and now run their own businesses as vet physios
Nursing - one went on to become a veterinary nurse
Zoo - one went on to do an internship in a zoo and she now works in a zoo full time. She also did several penguin internships.
Vet science - two of us went to do veterinary science as graduates, I went to liverpool, my friend is in his 4th year at UVM Koscie now
There isn't a mass of careers to go in to but there is a variety, most require a little more going through higher education to achieve, the majority of my year are secondary school teachers however but lab/research work is the general career people often go in to after completing the degree.
https://www.liverpool.ac.uk/study/undergraduate/courses/bioveterinary-science-bsc-hons/career-prospects/This is what lincoln suggests career wise (I went to lincoln uni and did biovet there)