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Fast-track for departures is included:
Fast Track departures is available to first and business class passengers in addition to top tier members of airline frequent flier programmes.
(Source)
For arrivals it is a bit more complicated:
Fast Track Arrivals in Terminals 2, 3 and 4 is available to invited Non-EU Premium Passengers. Please be aware that eligibility criteria will vary between participating airlines. Passengers are advised to check with their airline representative upon arrival at Heathrow or alternatively please refer to your airlineβs website.
(Same Source)
You may need to check with your airline or on arrival.