group by and order by question

Here is the table I am using:
db=> \d links
Table "links"
Attribute | Type | Modifier
------------+---------+------------------------------------------------
id | integer | not null default nextval('links_id_seq'::text)
url | text |
link_text | text |
type | integer |
disp_place | integer | default nextval('links_place_seq'::text)
Indices: links_disp_place_key,
links_id_key

'type' references an id column in a table of link types.
I need to group rows by the type but order them within each group
by 'disp_place'. (See result example below.)

Will I have to use seperate queries for each "type"?
foreach (select distinct type from links order by type)
select url, link_text from links where type='<type>' order by disp_place

The issue is that rows with type=2 may have values of disp_place that are
between rows with type=1.

So the table would look like:
id| url |link_text | type |disp_place
--+---------+----------+------+----------
1 | myurl | My URL | 1 | 1
2 | yoururl | Your URL | 2 | 3
3 | hisurl | His URL | 1 | 4

I would need a result like
type | url | disp_place
-----+---------+----------
1 | myurl | 1
1 | hisurl | 4
2 | yoururl | 3
etc.

Thank you all for you help.
Pointers to documentation, etc. are welcomed of course.

dan