From your post this appears to have been a completely straightforward case with no bankruptcy restriction order or undertaking. If so, there are now no bankruptcy restrictions on employment or on anything else.
However, it is - as always - up to the potential employer who they employ to do a particular job. It is possible that some employers might insist on doing a Credit Reference Agency (CRA) check before offering a job which involved what they might see as sensitive work (eg handling cash, payroll, investments). The bankruptcy remains on CRA records for 6 years so might lead to a job offer not being made. Also, some application forms might ask whether the applicant has been bankrupt; if this is answered incorrectly & subsequently found out it would almost certainly result in loss of any job on the grounds that it had been obtained by misrepresentation or fraud.
I believe there may be some professions - eg accountancy, financial adviser - where rules apply that might prevent membership of the professional body to a bankrupt & possibly an ex-bankrupt.
My personal view is that most people (but not all) who go bankrupt are doing so in a genuine effort to rid themselves of debt and move their life on, & they should not be disadvantaged as a result in seeking employment. But in any individual case it is a matter for judgement by the potential employer - who has to decide whether the applicant is genuine or not.