It definitely gets better. The cycle you're in is totally normal for this stage. Every baby is different: My first baby had a harder time breastfeeding and sleeping, and I think we turned the first corner at 6 weeks when she started to latch, then another at about 7-8 weeks when she started napping in the rock-n-play, then another around 12 weeks when she started sleeping closer to four-hour stretches, etc. My second baby latched in the recovery room and was sleeping through the night in his crib by four months (but is now hell on wheels as a toddler).
People here will tell you you're in the trenches. This is true; right now you're in the newborn trenches, the drudgery of endless eat-sleep-poop, the worrying about breastmilk/supply issues if you're breastfeeding, the lack of sleep, the lack of stimulation. I can only imagine how much worse it is these days when you can't really have visitors or get out much. One thing that helped with this for me was finding a good trash reality TV show to mindlessly hook on to. In my case with baby #2, it was Vanderpump Rules and I watched every episode of every season by the time maternity leave was over. It wasn't anything requiring brainpower, it was just entertaining/distracting in exactly the right way.