You could have a look at this 2 person tent from enkeeo, it is a not famous brand, but the customer reviews are not bad on amazon. There is waterproof PU coated polyester for the layer, waterproof and moistureproof polyethylene for the floor. Its water proof rating is 1000MM. It can handle medium heavy rain. The net weight goest to be 4.01lbs/1.82kg so it could be ultralight enough.
I had the tent before, $45 on amazon now. About (15.74’’+80.70’’) L x 55.11’’W x 41.33’’H, it has enough sleeping capacity for two persons. It is lightweight and compact, so I can put it in my pack easily. Its built-in ground sheet is a thin tarp, so I don’t have bring an extra ground tarp, which is convenient for me.
I used to have this tent. It is great for backpacking. It weighs 3.5 lbs complete with fiberglass polls and steel tent pegs. I like its water proof feature mostly, its thicker bottom is made to keep dry. The bag (which holds everything you need) is very lightweight and compact, and fit just fine in my pack.
Used to have this tent and feels not bad. There are some decision points when choosing the right backpacking tent like
Capacity: likely number of sleepers
Seasonality: tent construction relative to expected weather conditions
Weight: ounces carried vs. dollars spent
Livability: comfort and convenience based on design
You may have a look at this backpacking tent, it is very lightweight and compact, and fits just fine in the pack. It's good for 2 persons. And it is super lightweight and compact enough to store and transport with the carrying bag, great for you to go camping alone. The built-in ground sheet is a think tarp, so you don’t have bring an extra ground tarp, which is nice