I have watched the first 3 episodes and really am not too impressed with the show? Does it improve at all?
Not really. There was a single episode that I thought was good (not great but simply good) and another that was just ok but the season overall was worse IMO than DISCO s2 (which wasn't stellar either but was a big improvement of the Malon Freighter of a watch that was s1). While I was aware that my expectations (of a good show) would be subverted to hell in terms of plot/character/setting, the most surprising thing for me was how cheap it looked compared with DISCO s2. I know they're spending millions on each episode but it must be going straight into Stewart's bank account because it doesn't show on screen. Discovery's pew pew blam pow over the top action scenes looked a hell of a lot better visually than the equivalents in Picard. I may not like the asthetic choices made (like ship design and roller coaster turbolifts) in DISCO but at least I can see where all the millions went on screen; I can't say the same about Picard.