As of 8th October 2020, the estimated current total spend for borough-led London Streetspace Programme (LSP) highways schemes is £27.75m. Funding is split across the following workstreams: Low Traffic Neighbourhoods, School Streets, Tactical Space Interventions to enable social distancing, and Strategic Cycle Routes. Furthermore, Transport for London has approved a total of £13.2m across all 33 London Local Authorities to cover sunk costs for abortive work undertaken prior to the freeze in funding brought on by the Covid-19 pandemic. Funding for borough-led LSP schemes and sunk costs are claimed in arrears; a full breakdown of spend by borough will be provided following the completion of the current funding period midway through October 2020. See my answer to Mayor's Question 2020/2840 for a breakdown of expected costs of physical schemes.
In addition to the above, so far £139,000 has been spent on TfL-led works on borough roads as part of the Central London Corridors Programme within the LSP.
A further £9.57m has been spent on works to the Transport for London Road Network, delivering TfL-led LSP projects across various boroughs. This includes strategic cycling schemes, social distancing measures, traffic signal changes, additional Santander Cycles docking stations, and changes to bus lane hours.