WP1.5 – show links on a page

I assume you mean the links you define in your Link Manager. The default theme comes read with a Links Page template. All you’ll have to do is create a new Page and select “Links” as the template in the dropdown menu on the Write Page screen. Don’t put anything in the content area but do give it a title. And then, if you’re using Permalinks and your .htaccess is writeable by the server, you’ll be able to access the new page; otherwise, you’ll have to update your rewrite rules yourself with the new ones WordPress generates.

If all you want is a code to show links on any page, then there’s a template tag for that.

Is it this one you’re looking for:
< ?php get_links_list(); ?>

and how can i do this by category…..of links?

meaning a list of category 1 links list of category 2 links…