Most academic libraries will allow you to use their resources in the library for reference purposes, but members of the SCONUL Access scheme allow limited borrowing rights to members of other participating libraries. Most libraries can not allow access to their electronic resources, due to licensing restrictions, however some do operate a "walk in" service where a limited range of electronic resources are available to the general public.
You can find out on the SCONUL website which libraries you would be eligible to use, and register online.