I think I read somewhere that running an ALTER TABLE foo ADD COLUMN baz text on a postgres database will not cause a read or write lock. Setting a default value
The different sorts of locks and when they're used are mentioned in the doc in
Table-level Locks. For instance, Postgres 11's ALTER TABLE may acquire a SHARE UPDATE EXCLUSIVE, SHARE ROW EXCLUSIVE, or ACCESS EXCLUSIVE lock.
Postgres 9.1 through 9.3 claimed to support two of the above three but actually forced Access Exclusive for all variants of this command. This limitation was lifted in Postgres 9.4 but ADD COLUMN remains at ACCESS EXCLUSIVE by design.
It's easy to check in the source code because there's a function dedicated to establishing the lock level needed for this command in various cases: AlterTableGetLockLevel in src/backend/commands/tablecmds.c.
Concerning how much time the lock is held, once acquired: