Need more info
Firstly a few Qs so we can help you:
What kind of fish are they?
How big/old are they?
Do you have a filter?
Is your tank cycled?
When was the last time you changed the water and how much of it was changed?
How long has the tank been up and running for?
Would need answers to these Qs before you could get proper help, but I'd say it sounds like there is a good chance your fish are guping because of bad water. If you haven't changed the water in a while then do a large water change now to stop it getting worse. It can't hurt as a precaucion unless your tanks has been running with unchanged water for close to 6 months then hold of until you've answered the Qs and the experts on the site can tell you more about it. A tank that has'nt been changed for that long runs the risk of getting Old Tank Syndrome (OTS) in which case a large water change can do more harm than good. However I find it hard to imagine any fish could survive in an unchaged 1gal for that long:
The smaller your tank, the faster the water will foul and the more unstable the water chemistry is. A lot of fish do ok in a 1gal with the proper care but bigger is better. You should be aiming to change at least 50% of the water a week. On a 1gal it could'nt be too much trouble to go to 60% though.
Many fish are surface dwellers and some can take in air so need to know the type first but a water change can't hurt in the mean time (the more the better as a rule).
You can get Amonia test kits from a pet store or fish store. You also need Nitrate and Nitrite test kits as a minimum. There are more that help such as Ph, Gh, & Kh test kits that are also recommended but you can look into that later.
If your tank is new the most important info you need to look into of you don't already know about it is something called cycling. Until a tank is cycled it's harmful to fish and needs to be sorted out asap. In really basic terms cycling a tank means growing enough of the right bacteria in your filter (and on your gravel and aquarium decor) to be able to break down the harmful chemicals in fish waste to their least harmful state so that all you need are regular water changes to keep the water healthy. There is a sticky in the beginners section that you should read on this.
I'm guessing your fish are tropical fish and the tank is heated to the right temp also?
Hope this all helps in the interim until you can give us more info
