Are you trying to browse from the Apache DocumentRoot?
You need to find the appropriate conf file for Apache and it may differ depending on which Apache you are using (1.3+ or 2) and your distro. Generally the conf will be in /etc/apache, /etc/apache2 or /etc/httpd. I don't use SUSE so can't be more specific. Within that directory look for httpd.conf and its friends (*.conf). You want to check these files for DocumentRoot and ensure it's set to where your site files are. A common default is /var/www.
Next ensure /var/www (or wherever your document root is) is readable by the apache user. Also in the conf file will be the control section for the document root (the <Directory....> directive). Find it and ensure the lines
Order allow,deny
allow from all
appear.
Here's an example from mine, which in my case is in the file /etc/apache2/sites-enabled/000-default:
DocumentRoot /var/www/
<Directory />
Options FollowSymLinks
AllowOverride None
</Directory>
<Directory /var/www/>
Options Indexes FollowSymLinks MultiViews
AllowOverride None
Order allow,deny
allow from all
</Directory>
So in my case, surfing to
http://mycomputer from any other computer will, by default, take me to the /var/www directory. So I need to ensure the directory is readable: chmod -R +r /var/www. Ensure that the DocumentRoot, /var/www (in this example - yours of course may vary) contains something for Apache to serve. If there is no index.html there already, put one there:
echo "Hello!" > /var/www/index.html
Now hopefully surfing to
http://localhost from the server will give results, as will surfing from other computers.
Note that other factors may mean the above does not work in your setup, for example, you may be using virtual hosts in Apache instead.