There are only two types of gloves to worry about while in boxing training: sparring gloves and bag gloves. Bag gloves are used while working out on the various bags in the gym. Sparring gloves are used in the ring during sparring.
Sparring gloves come in different weight sizes, 8, 14, 16, 18 or 20 ounces. I wouldn't advice picking up a pair of 8 ounce gloves because they are very light. Protection for the hands is most important here. Most gyms will have 14 and 16 ounce gloves available. The old school ones have to be tied onto a boxer's hands. Modern ones have Velcro strips to fasten them around the boxer's wrists. The Velcro ones are easier, believe me.
There is not much of a difference between women's boxing gloves and men's boxing gloves. Remember, there was no such thing as boxing gloves for women for a long, long time. Gloves designed specifically for women may feel better on the hands. But as long as the gloves are protecting the hands from injury while punching, it's all good.
I've seen bag gloves in 7 and 12 ounce sizes. Most are just marked regular or large. It's a matter of which size fits your hands the best. These bags usually just slip easily onto your hands.
I can't emphasize this enough -- make sure you buy a pair of bag gloves that has good padding! Don't derail your boxing training by getting a cheap, poorly made pair of bag gloves. I did that once, and my right wrist paid for it. The pair of gloves I had were bone thin. I thought I was getting a deal because of the price. After a few months, my right wrist was throbbing all the time. A trip to the doctor revealed I had sprained it. I couldn't use that hand on the bags, and nor could I spar, for three months.