Others have posted some pretty good gouge on how to get to a stabilized orbit, but I'm going to respond with my own technique. Please note that it is technique only as there is a million ways to skin this cat. Note: I HIGHLY recommend starting a science mode as a beginner or sandbox, but NOT a career mode. Science mode allows you to create maneuver nodes as a default setting without have to earn that capability. Maneuver nodes are your friend.
1. Build a two stage rocket that has two stages, each with engines. (Preferred that both engines have vectoring for easy steering.
2. The rocket has 3500 m/s Delta V(4000 m/s if you need it for practice) total with around 2.00 TWR for the first and second stages. I recommend staying away from solid rocket boosters(unless you have a third liquid fuel engine that can steer you with vectoring during the launch stage). Ensure this is verified as being used in an atmosphere, not a vacuum.
3. Next, active SAS and then Launch. At around 100 m/s, begin your gravity turn (steering) toward 90 degrees. This will save Delta V.
4. Strive to reach 75 degrees by 5000m, 45 degrees by 10000m, and then continue the turn until you reach 30 degrees and hold.
5. When the Apoapsis reaches 75-90km, cut the engine(s) off. Create a maneuver node at the Apoapsis and drag the Prograde node out until the planned trajectory is a circularized orbit.
6. Watch the timer tick down and start the burn at 1/2 the total burn time required. (Ex: if the total burn is 1 minute, start the burn at 30 seconds prior to when KSP tells you to start the burn. Burn for the full minute in this case and cut off the engine(s). This should get you close to a circularized orbit.
Again, technique only. I like to play a bit conservative so I usually have a circularized orbit around 90km IF i am staying within the Kerbin system. If you want to travel outside the Kerbin system, I recommend using an apoapsis of around 80km for better Oberth Effect(don't worry about that until after you are ready to venture to other planets).