To monitor the use of the transport system during the coronavirus (Covid-19) pandemic, the Department for Transport provides statistics on transport use by mode, published every Wednesday. Data on usage of the different transport modes is available on GOV.UK.
This includes usage of Tube and Bus in London compared to a pre Covid-19 baseline. Specific data on the purpose of a journey (e.g. commuting) by mode is not available for the Covid-19 period yet. Historic data on this can be found in the National Travel Survey and in Transport Statistics Great Britain both available on GOV.UK.