It would be usual - and good practice - for an employer to offer more pay when work over and above the normal duties is done, particularly if this involves extra hours. However, your contract of employment may contain a term allowing your employer to require you to perform certain extra duties for the same rate of pay. You should therefore examine your contract to see what terms were agreed at the outset.
If your employer is asking you take on substantial extra duties indefinitely, this may amount to a variation of your contract, which would entitle you to renegotiate the terms, including pay. Seek advice from your union rep..
Just One More Click: Doggy drama about staying safe online at work.