That's a pretty weak machine. Linux Mint is my #1 recommendation for new Linux users, especially former Windows users. It's what I moved my parents to on their very old computer and it works great.
Try the default Linux Mint Cinnamon desktop first, but if it seems really slow, go with the XFCE version.
You really need to use an SSD in that laptop if possible, it will speed things up to a usable level. Also, if the RAM is upgradable, you should put 8GB minimum in it. DDR3 laptop sticks are dirt cheap, you can get them online for $20-$30 for 8GB sticks.
Same with SSDs, get a 1000GB brand new SSD for $50-$60, it will make everything much more responsive.