Be very careful! I came to running from an ice hockey background, I could never manage to do the 2 as hobby at the same time but I was playing hockey 3/4 times per week. If you are just skating and it is 1/2 times per week you will be fine for sure. Skating will put a lot of pressure and strain on muscles which will not to be used to the sensation, so ease it in very steady. Running is a constant straightforward motion with which you can develop pretty rapidly due to its consistent nature, but skating is a total different kettle of fish for very obvious reasons that there is a lot more at play in terms of change of direction and flexing of joints to the sides which is the killer part very often for runners.
It's only now with my really bad injury going on its became more and more apparent the hip/pelvis issues I have had contributing to problems for years is all because of hockey