Do you want to do this?
SELECT id, parent_id, name,
(select Name from tbl where id = t.parent_id) parent_name
FROM tbl t start with id = 1 CONNECT BY PRIOR id = parent_id
Edit Another option based on OMG's one (but I think that will perform equally):
select
t1.id,
t1.parent_id,
t1.name,
t2.name AS parent_name,
t2.id AS parent_id
from
(select id, parent_id, name
from tbl
start with id = 1
connect by prior id = parent_id) t1
left join
tbl t2 on t2.id = t1.parent_id