Summertime, congrats! Being pregnant is about as paleo as it gets.
You've timed things very well! I encourage you to stick with the paleo eating guidelines. You and your little one will get lots of nutrition that way and your pregnancy will go more easily. My wife is six months into her first paleo pregnancy, and it's going much easier than the last one did, just from cutting out grains and legumes (pretty much the only way she wasn't paleo before).
I do think four weeks is a little early to start feeling the typical pregnancy complaints. But maybe you'll get lucky!