Do you think webspace in GBs is only measurement of how good a hosting website is? Do you think that you can use more than 1 GB of your webhost in HTML and light images? Seems like you are very new in the industry, still I have a recommendation for you. http://www.zymic.com/free-web-hosting/ Try it. And learn more things about features of a webhost, it will be good for future.
Web hosting is fairly cheap these days. I would recommend getting a low cost account rather than choosing free.
If you aim to have a site with a good Google ranking then buy a hosting package instead of getting a free web space.