The simplest solution is what has already been mentioned here - use Google Sheets (free), Brewer's Friend, Brewfather or another solution that'll record and chart your readings.
I'm not sure what your tech skill level is, but with the Tilt, you buy/assemble a RaspberryPi unit for the Tilt to log to. If your Internet router supports it, you can then forward port 1880 (the port that the Tilt app uses) to a WAN port so that the interface can be accessed from anywhere outside of your home and you can see the readings in real time. It may seem a little complicated, but it's really not. One downside to this is that if someone else somehow were to access the Tilt interface, they could change settings and screw up your readings. I used to have mine set up this way and never had any issues.
For a free solution, I would just recommend the Google Sheets option (you'll still need a phone, tablet or RaspberryPi for logging to the cloud). If you are currently paying for or are interested in using brewing software anyway, Brewer's Friend and Brewfather are better options IMO.